The Viral Balloon Puzzle - The REAL Answer Explained (Using Ph.D. Level Math)
ฝัง
- เผยแพร่เมื่อ 1 ก.ค. 2018
- They say only geniuses can solve this puzzle, and this time they are correct.
Thanks to all patrons! Special thanks to:
Shrihari Puranik
Yildiz Kabaran
Kyle
My blog post for this video
wp.me/p6aMk-82U
Sources
puzzling.stackexchange.com/qu...
2000clicks.com/mathhelp/BasicS...
en.wikipedia.org/wiki/Lambert...
mathworld.wolfram.com/LambertW...
www.wolframalpha.com/input/?i=...)
en.wikipedia.org/wiki/Knuth%2...
en.wikipedia.org/wiki/Tetration
Playlist to watch all videos on MindYourDecisions
• Uploads from MindYourD...
This is the only channel to feature math topics suggested by people from around the world. Sadly some textbooks, websites, and other channels think math is limited to specific topics from certain countries--and they are vocal about it. Support the channel on Patreon so we can prove math really is universal:
/ mindyourdecisions
If you buy from the links below I may receive a commission for sales. This has no effect on the price for you.
My Books
"The Joy of Game Theory" shows how you can use math to out-think your competition. (rated 4/5 stars on 34 reviews)
amzn.to/1uQvA20
"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" is a handbook that explains the many ways we are biased about decision-making and offers techniques to make smart decisions. (rated 4.6/5 stars on 3 reviews)
amzn.to/1o3FaAg
"Math Puzzles Volume 1" features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. Volume 1 is rated 4.4/5 stars on 13 reviews.
amzn.to/1GhUUSH
"Math Puzzles Volume 2" is a sequel book with more great problems. (rated 4.3/5 stars on 4 reviews)
amzn.to/1NKbyCs
"Math Puzzles Volume 3" is the third in the series. (rated 4/5 stars on 6 reviews)
amzn.to/1NKbGlp
"40 Paradoxes in Logic, Probability, and Game Theory" contains thought-provoking and counter-intuitive results. (rated 4.4/5 stars on 13 reviews)
amzn.to/1LOCI4U
"The Best Mental Math Tricks" teaches how you can look like a math genius by solving problems in your head (rated 4.8/5 stars on 5 reviews)
amzn.to/18maAdo
"Multiply Numbers By Drawing Lines" This book is a reference guide for my video that has over 1 million views on a geometric method to multiply numbers. (rated 5/5 stars on 4 reviews)
amzn.to/XRm7M4
Connect with me
My Blog: mindyourdecisions.com/blog/
Twitter: / preshtalwalkar
Facebook: / 168446714965
Google+: plus.google.com/1083366085665...
Pinterest: / preshtalwalkar
Tumblr: / preshtalwalkar
Instagram: / preshtalwalkar
Patreon: / mindyourdecisions
Newsletter (sent only for big news, like a new book release): eepurl.com/KvS0r - วิทยาศาสตร์และเทคโนโลยี
![[MPD직캠] 베이비몬스터 치키타 직캠 4K 'LIKE THAT' (BABYMONSTER CHIQUITA FanCam) | @MCOUNTDOWN_2024.6.13](http://i.ytimg.com/vi/h99J4vWm7Ew/mqdefault.jpg)
This is now the most watched video on TH-cam featuring the Lambert W function, and also introducing many people to Knuth's up-arrow notation. And yet the math meanies never praise or share my videos! Math negativity is a huge reason why so many people dislike studying math...(more details below)
People often send me puzzles they see on social media. They love these videos because learning how to solve them helps builds their confidence in math. The few negative comments must come from people who don't actually watch the videos--nearly everyone who watches them praises them very highly (100+ million views, Shorty Award nominee, praise from famous mathematicians, citations in books/papers/courses, frequent media mentions, positive reviews to my many books, etc.). Take it from me: don't listen to the confidence crushers/math meanies/dream destroyers! Everyone agrees negativity is hurting math education, so we need to be extra positive to cancel them out!
MindYourDecisions the green balloons have different string lenghts. How would that change the answer?
Im still in high school so i dont know anything about the Lambert stuff.
Mr. Presh Talwalkar, the arrows for the balloons are not the same length. So the puzzle still has deeper meaning to it, which might further change the answer. P.S. Love your videos.
We need positivity to cancel out the negativity? I thought it was the opposite. We need negativity to cancel out the negativity.
+ - = -
Whereas
- - = +
Depends if your adding or multiplying.
-1+1=0
-1-1=-2
Why not interpret the relative positions of the balloons as a slope. The line through the green balloons has a negative slope. This gives the interpretation the value of a single green balloon is -2.
This gives an answer of -19.
Remember most puzzles are meant to solved in your head without reference to external sources.
Who else did the math, before watching the video?
angry cup of joe me
Its compulsive to do it that way for anyone who's familiar with the buzzfeed teir presentation style of this channel.
I did. I got 21 and was so proud of myself until I realised I had missed the darn arrows. I failed dramatically! Lol
@@welshsteve2009 i also got 21
Me
Him : Don’t say I’m overthinking it.
Me : You’re overthinking it.
He’s basically trying to find the Easter egg the creator of this problem was trying to hint at, if you listened.
@@classicdoctors2531 He invented his own easter egg.
Interpretation of the Bible be like
Hell, I thought the arrows were strings and the little nub on the end of a balloon when you tie it in a knot.
Ok so were gonna do a over the power of a plus the power of a over n
(bruh, i done 4 / 2)
I'm with Master TMO. If you try to make significance out of the relative heights of the paired baloons, you must also give significance to the differing lengths of the strings. The best answer still looks like 21 to me.
Its interesting because if you do regular order of operations the 'easy' way, the answer is 21, or if you do it left to right, not using order of operations its 22. So thats why i think its super interesting that with this more complex answer you basically get 21.5
Ugh what?
I follow you bro!
Yes, I'm no mathematician, didn’t know or had forgotten the order of operation and got 22. I was satisfied with my answer. 😂😂😂
@@we4r119 22 here too. For me to have got 21 the sum should have looked like 1+(10x2)
*Can we just say it's 21 and leave it at that?*
On this channel no
Nope, this answer is too easy, and they say you gotta be a genius to solve, so 21.56 must be the real answer
@@pedroocm Aprox 21.56 that is
Or we can solve this equation in complex dimentions also to get even more accurate answer
I only have a M.Sc. so I got 21 and an IQ of only 160. I seen it and said," nay too much work 21 is close enough. "
4:05 is where 99% of people understand that 21 was the answer and are fine with that.
Wat, I got 22
@@MiguelSucksAtUrbanism order of operations. multiply 10 by two FIRST, then add one. Multiplication happens before addition, even if its not the left most operation.
@@snap-off5383already oticed, sorry
Oh okay
But I got plus minus (40 + √14) as my answer.
*a very long sigh*
Exactly. Figuring out a problem like that in the real world, on a job site, you’d be laughed at for wasting the company’s time by bragging all the high level math you know, then made fun of when everyone else says it’s 21.
This has so many acceptable answers, depending on the rules you apply. For example, I read the double balloons as being x^2 instead of 2x (or the really advanced version you showed that I don't understand). So the end answer for me was 20 + square root of 2.
You also could have paid attention to the fact that the green balloons have two different lengths for the arrows, deduced that they're actually two separate values, and then used a proportion and the measurement of the lengths to figure out those individual values. And that information could have also been used for all three methods of solving it (addition, multiplication, and the method you did).
I liked your fun thinking. Though I eventually went for the 21 direction I originally was also thinking it was potentiolly gonna be a bit of a troll logic puzzle since technically only red is directily correlated. One could argue that there is just as much reasoning for blue to be 1 simply because that was the previous number in its connected supposed sequence for example or maybe blue represents something completely unconnected to what 2 blue represents. Even our assumption that 2 blue and 1 blue is something of a bias in puzzles like this
Okay, I appreciate your assertion that you have to use *ALL* the data available to find the right answer, but *if* the direction of the balloons and the up arrow strings is significant to solving the answer, then you *MUST* take into account that the string of one of the green balloons is shorter than every other string shown. That must factor into solving the problem somehow. Otherwise you're saying minor differences in the graphics are immaterial, up to and probably including, the direction of the balloons themselves.
That's funny, I was thinking the same...I imagine his balloon on top of his neck has popped by now if he attempted to factor that recognizable anomaly into the equation!
@@corieolausen2105 If you are so into details - why not include the RGB value of the balloons' colour? Since a balloon is not a mathematical unit, I have the right to interpret whatever I want into it.
Completely agree. And a possible interpretation is that it's half of green since the tail is half as long.
It would be 26 if talking the length of the string into consideration (shorter string balloon = half string of one green balloon), without considering the direction and the up arrow strings.
If you wish to see my methods answer the this comment.
Me: **gets 21**
Answer: **21.56**
Me: _I _*_totally_*_ rounded my answer down._
Well you should actually round it up due to simple "rounding rules"
@@iconic410 Let's give him the benefit of the doubt and assume he meant truncated ;)
But rounded up version is 22
Nah bro you mean you took the floor of the answer ☺
@confusion kale 😅 same here
Presh, my name is Daniel. I'm a big fan of your channel. When I do have some free time, I make it a point to watch a few of your videos. I must say that I'm more than singularly impressed with your problem solving ability. You know,, in the past, I thought that I was a math sage of sorts. But you sir are truly gifted. How can I learn more about the Lambert function?
I came up with 41-10x for x=0-4 (and yes, I did this before watching the video)
Rationale: The green strings were noticeably different length when the blue strings were conspicuously the same length under similar conditions. This lead me to treat the 2 Green as 2 separate values whose sum = 4, thus individually 4-x for x=0-4. Since the blue balloons were identical, I treated them as 2y, or 1+1, so my final evaluation of B + R * G1 was: 1 + 10 * (4-x)
Note: This does take string length into account, but it does not take position into account as Presh did. Presh's method failing to accommodate for obvious string variations seems to fail to factor that the double green is (to my reckoning) 2 different values. I have no idea how to work with tetrations, but his only works when green is 2^2, which doesn't make as much sense when double blue has no problems holding string length constant.
Normal people: *does the simple math equation and gets 21*
Him: *does all the complicated equation to get 21.56*
Me: *still thinks the answer is 21 because intact objects cannot exist partially and cannot be rounded up as there are parts that are literally unexistent*
@TOMÁS SOUSA AZOUGADO Green is 2, blue is 1, per balloon. You're correct about red, though.
But the puzzle isn't asking you to count the balloons. If that's the case, then 1 blue balloon + 1 red balloon * 1 green balloon = 2 total balloons. Each balloons have their own values according to their colour and string length. So it's totally fine if the answer is a decimal
notice @ARAH that there is no longer string but the the one balloon is placed abit higher than the other only thus making the one balloon string appear longer than the other meanwhile in actual fact they're the exact same lenght making Ryan's theory of inexistent balloon particles that are a results of rounded off really true
Btw 21.56 is rounded up to 22 so ya
@@arah8998 You can add or subtract balloons but how to multiply or divide (the decimal answer implies division) balloons?
Kid : why is dad taking so long buying a baloon
Dad :
Why isn't this comment on the top?
Underrated comment
best comment ever lol
22
I’m the 500th like but someone’s gonna unlike since I replied this on the comment
This is going to confuse some people, but at first I instantly got 21, but then as you were putting all the balloons side by side (around 1:55) I changed my answer to 31, and I'll explain why
As we have already got both green balloons as 2's and both blue ballons as 1's, I noticed one of the green balloons has a shorter string compared to every other balloon in the entire screen so I changed the green balloons to: longer string 3, shorter string 1 (It still comes out as 4, but it fixes the problem with the string as every other balloon has the exact same amount of string, even in the final equation) so it would turn into 1 + 10 x 3 (longer string)
but you cant just assume that one is 3 and the other 1 the true answer we cant answer think of it as mathematically one is "a" and the other "b" they can be anything as long as a+b is 4 they can be 4 and 0 they can also be 2 and 2
@@retroman2645 Both the blue balloons have a longer string but still has one of them lower than the other so it's a fact that the green is 3 and 1.
@@Jackler this has nothing to do with the blue balloons just because a =1 and b = 2 you cant just say it is that way and say c = 3 it doesnt matter what value other variables have each variable is independent
@@retroman2645 I'm not going to argue about this, this comment was a year ago, I don't care what you think it is, what I've stated is factual, not worth my time, and frankly, likely not worth yours either.
I like how you have a different approach to these problems. Personally, I would have interpreted the opposite orientation of the blue and green balloons as an alternate visual distinction for students who are colourblind.
This is the real answer
But then surely the final equation would be completely indecipherable to the colorblind, rendering the prior visual distinction pointless.
0:24 obviously these are s and p atomic orbitals,
so red = 2 electrons
double green = 6 electrons
double blue = 6 electrons
then there is a trick, the p orbital are vieved from face but are still there
so in the last line, we get 6 + 2 * 6 = 18, which allow us to fill our valence shell and get stable argon.
great solution)))
I thought I was the only one who got 18 for a minute 8)
When your favourite subject is chemistry but you are in maths class..
How is 2+2+2=30?
I dislike Maths (not Arithmetic) because it is trying too hard to be super-important. Hence it will try to be overly-complicated. It is quite prepared to be dishonest in this quest. E.g. It will invent and use 'i', an imaginary number, to solve non-problems. It persists with Set theory nearly a century after Ramsey et al demonstrated it has no validity. It invests the zero (the abstract statement of nothingness) with real world powers, as in m° = 1, however zero began its life as a marker to indicate this column has no members, which was extremely useful, a time-saver. Ergo mº = m as it should be. Maths and Arithmetic try to manipulate *abstract copies* of reality however it can only operate on the lower order properties of those objects. e.g. An apple is whole, it is red, it has mass and volume but the Apple is infinitely (and fascinatingly) more complicated than what Maths can resolve.
Restore sanity to Maths and a whole raft of idiotic conclusions will also disappear taking with it Black Holes, Multiverses, Wormholes, Dark Matter and Reversing time. The damage to Science is immense; as only it can claim to be mankind's most important development, a gift that keeps on giving - and Maths is jealous.
Finally the answer is 21. Those 'arrows' are graphical representations of the balloons opening tied with a piece of string - IOW they're not balls with arrows.
I got 21 with simple algebra bro. Are u trying to make us mad?
I accept your answer s that is correct
Yes it is acceptable but it doesn't take a genius
He said in the video that the problem states that you need to be a genius, to truly solve this. Therefore, the original creator of this problem probably had a hidden answer like an Easter egg in a game.
He’s trying to make us click
Wdym? It’s 42
One more visual clue to complicate things: The length of the string is not the same for all balloons.
If you incorporate THAT information, you can get yet another "correct" answer with high school level math.
Red Balloon always has string length 'a;, Green has one balloon with string length 'b' and one string length 'c'; Blue has 2 balloons both with string length 'b' (same as Green in bottom line of original puzzle; Red is shorter ). In comparison, c
You bring up the differences in ballon appearance as a part of the puzzle, which makes me ask, what are the values of the balloons supposed to represent? Mass? Volume? Helium? Knowing the answer to my question would allow me to determine if anything you say actually matters.
when you’re too toxic because your friend said answer was 21 and you said some other answer and you pin point every small detail to say he’s wrong...
He is a master when it comes to overthinking simple problems
Lol yes
Why is he thinking of the strings as arrows? They're strings!
@@Mike14264 if the strings are not strings, then the balloons are not balloons
@@RangerCaptain11A and the knots are not knots.
@@Mike14264 they are knots^knot power
Agreed! I didn’t know the math for the green balloons (never even saw that notation before) so I couldn’t get there myself. But the overall thought process is sound.
If you are considering other possibilities then you should consider the possibility of the arrows of the balloons.
For Green Balloons - Right balloon is lower than the left one and since we are determining the value here and not the mass, so we can consider the possibility of the left balloon has more value than the right one. Also, the arrow of the left balloon is quite similar to the diameter of the balloon, hence we can suggest here that the value of arrow and balloon is half to each other i.e Balloon(1) and Arrow(1), however the right balloon arrow is almost half in size to the left arrow i.e right arrow(0.5) in value and the remaining right balloon will have the value of 1. Now we have the value of 3.5 but considering two balloons and two arrows equals 4, then the remaining 0.5 value should be equally distributed between two green balloons and the left arrow since they have approximately same size. hence the value of one green balloon will be 1+0.1667=1.1667 and same goes to the left arrow 1.1667.
Now, coming back to the question,
Red Balloon is 10
Green Balloon is 2.3334
Blue Balloon is 1,
then one of the possibility for the answer should be 1 + 10 x 2.3334 = 24.3334
Didn't take into account the varying lengths of the 'arrows' under the balloons though 👀
I thought the same thing. If we’re over thinking this, arrow length should also come into consideration.
@@TallGeeese23 If the arrow length meant a different value, then the short green should be 1 and the long green should be 2. Meaning the final answer should be 31 instead of 21.
Troy Terry 31 would have been my answer to
@@troyterry6919 Why should the long one be equal to 2 and the short one be equal to 1?
@@troyterry6919 long one should be 3 bcoz 2 green balloons equal to 4
That was the most condescending "did you figure it out?" I've ever heard in my life
You dummies... It's not condescending, and it's not "low-key" anything. It's high-key ridiculous on purpose. The whole video is tongue-in-cheek. It's a joke. He's taking the piss.
@@GadBoDag For real.
@@GadBoDag Someone can simultaneously be taking the piss whilst also being a pretentious prick, both can be true.
This is one of those puzzles where you should answer “there’s not enough information to solve it”. For instance, a lower balloon can also mean a lower number. And the size of rope can be relevant, which you didn’t take into account. Still love your creative approach!
I figured the blue balloons had something to do with indices, but wasn't sure how to reverse engineer it. I've toyed around with the concept used for the green balloons but never knew it had a proper notation, which is what left me stumped.
“I believe this is the real answer to this puzzle.”
No. The pairs of balloons could have been interpreted lots of different ways. Since they they are overlapping, perhaps they’re “really” Venn diagrams.
My answer: system not well defined since thier lots of interpretation so anything goes
Dude--you must be joking. Venn-diagram interpretation is a stretch.
@@VolksdeutscheSS And this video isn't a stretch.
I don't remember him addressing the fact that the green arrows are different lengths, while the red and blue ones are not. I accept that he's stretching this too far, when really the trick is about what order do you do the operations in the last line(I got it wrong, and made 22!), but if we are looking for visual clues to varying values or functions, surely the arrow length would be part of it?
seventh saucer yeah like what if the values are based on the balloons supposed volume so 2 overlapping balloons have less volume than 2 separate balloons
Damn, he literally just taking "If there's a harder way, then why choose the easier one?" Way too far.
Facts
He chose the simplest and the most complicated ones. The obvious solution though is 31. The two green balloons have different string lengths. If they sum up to 4, one is 3 the other 1. In the last equation the longer string green balloon is used (3). Do the math and the result is 31.
Different ways to approach a problem stretches the mind. The world does not lay out the problems in a logical manner and working through from a different perspective teaches the brain to think and not just to follow a formula.
I mean I think it isn't wrong to point out that there could be many answers given the ambiguity of the "problem" it would be as easy as saying
3a=30
a+2b=18
c-b=2
C+a*B=?
technically C and B are only mentioned in the final question and thus the answer is actually not enough information, but we assume F(C)=2c and F(B)=2b but we never are actually told that in any concrete way.
@@ralfsteiner7751 Works (a little) if you choose to go that route. 21 is another correct answer.
This has been mentioned before but the green balloons have arrows of different lengths, and in the final equation, the longer arrow is used. Even more interesting though is that the red balloon has a shorter arrow than those of the the blue balloons and the longer of the green balloons (which are of equal length), but longer than the shorter green arrow.
It is a bit of a stretch though to think that all these details are important, or any of the ones brought up here. There is really no reason to think that this isn't just a simple substitution puzzle. I think the aspect of this puzzle that requires "genius" is the order of operations and is likely what was expected to trip up would be solvers.
Seeing as how it's been 54 years since I graduated, I had forgotten a few details. Figuring out red, green and blue was pretty straight forward, we never studied that fancy stuff he shows. So red was ten, green was 2 and blue equaled 1. I added 1 + 10 to get ll x 2 = 22 then he says you do the multiplication first then add the 1 so 1 + 10 x 2 = 1 + 20 = 21. The way he did the math the answer is 21.56. Seeing as how I got 22 the first time and 21 the second time, I add them together then divide by 2 giving 21.5 . And that's close enough for government work. Case closed.
In fact I first thought he might interpret 3 balloons next to each other as being multiplied instead of added, so the single balloon would be sqrt of the double balloon. That solution with about 21.41 would be quite close to the interpretation of Presh.
“Close enough for government work”.
Let’s be real: that’s TOO accurate for government work.
What about the strings being different lengths between the green and blue pairs?
I thought the same thing when he said "Let's use all the graphic info." Then he didn't.
"the real answer should encapsulate all of the visual details" but then he just ignored it and it bugged me the whole video
ikr lmao
@@schrottproductions8782 waste of time, i thought the same when he said that. There goes our 9 minutes down the drain with no answers
Factoring in the length of the arrows, the answer is 48.
You're welcome.
We better count the pixels for each balloon and differentiate those pixels by their brightness as well. Besides, the 2 balloons in the same color has overlays and that must be indicating some hidden information too.
Epic
😂😂😂
LOL! Yes also mind the angle when the light hits them...Not to mention that green is a combination of blue and yellow...how much blue? Thank you for the laugh Ocean Z
Don't forget that the string length on the green balloons aren't equal.
@@lukeolinger6000 Thank you I almost missed that LOL
I got 31, because the arrow on 1 of the green balloons is slightly smaller. But the one used in the final expression is the long one, therefore I concluded that the longer arrow must've had a value of 3, while the smaller one had a value of 1 (still totalling 4 for the pair).
Before watching I took into account that the balloons being next to each other might denote multiplication, but I didn't regard the strings/arrows as anything. Thus I got the red balloon as 10, the green balloon as 2, and the blue balloon as the square root of 2 (roughly 1.4142135....). So the answer I got, which I think is also a potentially valid answer, is 21.4142135....
Finally someone gets it. I’ve been saying this on these type of problems for years and have had some very lively discussions
My personal solution to this problem is based on the game Bloons Tower Defense, a game where you buy monkeys to help you pop waves of balloons, increasing your score and in-game money to buy more monkeys as the game gets increasingly more difficult. In BTD, if you pop a green balloon, it becomes blue. If you pop a blue balloon, it becomes red and if you pop a red balloon it disappears. This indicates that the red balloon in the equation always represents 1, blue is 2 and green is of a value of 3. Hence, with that information, we can conclude that the first two statements of the problem are simply false, and the answer to the question is 5 (2 + 1 * 3 = 5). There are probably a million different approaches to this problem but I find mine the most believable and most likely the intended solution.
when u play too many video games
OMG That is absolutely genius! You're right, bro.
But there are 2 blue balloons when you pop a green balloon, and 1 red balloon inside a blue balloon, so inside a green balloon are 4 red balloons, but in your information, there are 1 balloon from 1 green balloon, so the right answer is 1+4*2 and the answer is 9... :)
@@jamesramirez0408 only whites/blacks and higher sprout multiple bloons... Pink or less only goes down a color.
BTD battles is teh best bloons
"Can I copy your homework?"
"Sure, just change it a little bit so it won't be too obvious..."
a baked potato I don’t get it
ILike YellowSnow sane here
@@bubblebubble1528 the guy changed the answer by overcomplicating it.
Kush Nah he just assumed it had to be a harder solution than the simple maths needed to get 21.
The way he explained it was exactly what I was thinking.
I find the string length etc to be fascinating, and while you are very likely right.
Can we at least consider the fact that the people who originally wrote this didn't actually have any idea what a genius was, and "pemdas" stumped them?
Or it's possible they were going for 2^2 and 2^1 for green and blue baloons not really realizing that it didn't entirely make sense. (Which would be 22?)
Anyway, I lost the math of OP at a certain point but all this is quite fascinating
This guy is the type of dude to use algebra and geometry to solve a simple arithmetic puzzle such as 1 + 1
Well dude, 2 is TOO easy of a solution (haha) so here is a more advanced way of solving it.
Step 1: 1+1=x
Step 2: 1=x-1
Step 3: 1^2=(x-1)^2 so basically it's 1=(x-1)(x-1)
Step 4: 1=x^2-2x+1
Step 5: 0=x^2-2x+0
Step 6: (−(−2)±√(−2)^2−4(1)(0)/2(1))=x
Step 7: x=(2±2)/2
Step 8: x=2, 0
Therefore, 1+1 also equals 0.
@@namelastnamefirst4520 lmao😂
Google Bertrand Russell. He wrote an equation to prove 1+1=2
@@badrobot3159 Damn. How's that even possible!
@@namelastnamefirst4520 no its 11
I think a reasonable assumption would be those 'arrows' are just knots in the balloons tie with a string.
A reasonable assumption would be that if GreenGreen + GreenGreen was Green + Green + Green + Green, it would have been written as such, or as GreenGreenGreenGreen. Therefore there must be some significance to the grouping.
R3Testa GreenGreenGreenGreen would be Green^4
+Paul Book Agreed 100%
R3Testa
Yeah, maybe that significance was merely to confuse people. Isn't that also a reasonable assumption?
No, because the simpler art of this one makes the count of balloons clear, as opposed to earlier iterations that featured things like bunches of bananas with either 3 or 4 in the bunch. The only place this one, AS INTENDED, can confuse people is in the PEMDAS.
This is the first time I ever got a question right, and I’m happy with that
So what about other important details like the length of string, material which the balloon is made from, the direction at which light hits the balloon and the date of manufacture? And the total distance the balloons have traveled, their average velocity, no of atoms of gas which can fit in them etc. And the fact that 2+2=4 and mitochondria is the powerhouse of the cell. This answer is STILL INCOMPLETE!!
Pi = 3,14
g = 9,81
This problem = 21
No one in the world is perfect.
C=2.99×10⁸
e=1.9×10‐¹⁹
Pi is not exactly 3,14.
@@Vladon32 same goes for g as g is An average on earth and not a constant numner
TwanPlays yes, you’re right.
That sounds like 21 with extra steps.
That sounds like slavery with extra steps
You mean 21.56
Idc, I study engineering
technically 22
@@nizardadda5523 why?
Your videos haven’t built my confidence. They have just left me confused and confirmed my ineptitude at math and physics.
Interesting video. I had never heard of the Lambert W function before, so I learned something new.
Though my thoughts on the “real” answer are a bit simpler. I think that it is incorrect to assume any relationship between the short and long string green balloons. Therefore, the “real” answer has no unique solution.
"The definition of genius is taking the complex and making it simple." -Albert Einstein
He did the opposite lol
Yeah like hid did the opposite
Amen brother
Actually he made it more simple.
I understand it completely! Black hole physics makes perfect sense!
These kinds of questions go 'viral' because they say it takes a genius. Not that it really does. Because you'll still get people that will swear that the answer is 22.
So because some people get it wrong means it doesn’t take a genius? Or that there are more than one wrong answer? Are you trying to say that you got 22 and still think you’re a genius?
@@justincoleman3805 the people who get it wrong are ones that didn't pay enough attention to the visual details.
but 21.56 rounds to 22
@@YSFmemories except that there is no decimal to begin with, this guy just overcomplicated it to the point of seeing things that's not even there.
@@Ghorda9 well, what is 3 divided by 4? There is no decimal to begin with in that equation.
Wait, what about string length?
Fun over-complication, but I think just seeing one of the green balloons string is shorter, implies its a smaller number than the other balloon, and thats as far as we need to take visual interpretation into account (because if it was a graphical error, then the blue balloons would also show a truncated tail, which they do not)
Thus long string green equals 3 and short string equals 1 (still summing to 4) and we simply use integer values - reasonable assumption to make is that we're dealing with integers imo. Then you simply take the final answers as 31, rather than 21 due to the long tail.
I think thats a more elegant interpretation imo.
"Any intelligent fool and make things big and complex, it takes a touch of genius and a touch of courage to go in the opposite direction"
-Albert Einstein
So technically, those who said 21 ARE the geniuses
Exactly 👍 .... On the contrary Concept of being genius is not to make things complicated
not necessary, the simplest answer is: can't be solved. We can't interpret the one blue ballon symbol as half as big as the symbol of two blue ballons, by this logic 1 would be interpreted as half as big as 11
Can* but yes.
How to tell you are overthinking it: notice how many OTHER visual elements you didn't conclude were part of the puzzle. For example:
- the hue, saturation and luminosity values of the balloon colours
- the direction of the apparent light source causing the glow on the surface of the balloons
- the ovular balloon shape
- various aspects of the little triangle-shaped balloon necks (including position, point on the balloon's surface at which they "point", the angles of the corners, the side lengths)
- various aspects of the string thickness (including length, slope, position)
- the fact that the triangle-shaped neck is embedded deeper into the blue balloons than the red and green ones
- ... etc.
I solved the puzzle based on the thumbnail (21, what a surprise /s), and as soon as I saw him taking the relative positions of the balloons to indicate exponents, I realized that this was a cheap trick and promptly rolled my eyes.
also arrow length
Don't forget the helium density in the balloons too
@@edgewatersbestguitarist1524 And what if they contained hydrogen instead?
@@EMLtheViewer lol then I guess we'd just have to forget about solving any probable equations and throw matches at the balloons for fun instead
How about applying Occam's razor and interpreting the lines not as arrows indicating exponents but as the strings that indicate these spheres are meant to represent balloons?
Am I wrong or (if you’re taking the simple view) could it also be -19? A single green balloon could be +/-2, right?
I got -19 as a possible alternative answer as well. It kind of depends on how you think the balloons should be notated, but if 2G is considered a valid way to notate two green balloons, then G could plausibly be -2.
Me 10 mins ago: 2:44 oh I was right, I even did it in my head.......why is there 6 mins left in the video
Actually, a TRUE genius, would realize that the balloons were buy one get one free, and that the arrows are just the knots the balloons are tied in. This results in 2 green balloons being 4, but also one green balloon is 4 as well. 2 blue balloons are 2, and 1 is as well.
So the REAL answer is 42. Checkmate walker.
Yes ! Everyone knows that 42 is THE answer ;-)
Actually, the final value is 0 because it's free balloon day
Get REKT Presh!
@@Ddotkay yeah, get rekt preshtawalakelar
Trueeee
What about a shorter arrow beneath one of the Green balloons? Do you think that might have any implications @MindYourDecisions ?
Interesting. Can you also please explain how the (Double Green Balloon minus the Double Blue Balloon) equation equals two, if one Blue Balloon equals 1.56 (i.e. to complete the proof)?
Because ~1.56 ^ ( ~1.56) = ~2
You did not take into account the length of the cords, the green balloons has differents lengths, that most mean something 😀
Yes those are vectors! Nothing is given in a problem unless it says it is given, or its given. Speculation isn't math.
@@snap-off5383 If speculation isn't math (to which I'd agree), then it would be speculative to say that all ballons of the same color must share the same value. Likewise it would be speculative to say that all balloons of different colors must not share the same value.
If you ignore certain differences but not others, then you're assuming that some differences matter while others don't. That would be speculation and therefore not math.
Therefore it would be speculative to say that color matters but shape or position doesn't.
One could say that this puzzle is unsolvable because there's nothing indicating that the same values must be assigned to the same visuals, or that different values must be assigned to different visuals.
In fact one could go even further and claim that none of the balloons can be considered equal because their sequence could also effect their values. Nothing indicates that a different sequence would not mean a different value.
So I'd argue the puzzle is in fact unsolvable using the available information.
@@ETBrooD I'm just going to say: Golf clap. First logical ass kicking I've received in a long time, although I will use the sad excuse of "wasn't trying hard". High five.
@@snap-off5383 Haha dw I'm not usually trying that hard either so I'll say it's a very valid excuse to protect my own ego as well :P
Just watched this video and had the same observation. I also must admit the sub-positioning and super-positioning didn't occur to me, but I did get as far as wondering if balloons side by side indicated addition, multiplication or perhaps something else.
The colored balloons are simply a visual representation of a set quantity. Therefore, if you want to be detail oriented with this problem you cannot equate the pair of green balloons to x left-superscript of x at 3:50. This is because the green balloons are not visually identical. Unlike the blue balloons, the 'arrows' under the green balloons are of different lengths, which makes each green balloon unequal in value.
So You say The answer is Not a single number?
If you take into account the visual details of each balloon when trying to solve this problem, then there are many valid answers. Therefore, I do not believe the problem was meant to be solved this way. I believe the problem is as straightforward as it seems and the answer is simply 21.
They are Infinite many answers if You Take the Arrow length into Account
2= y^y^y... For ANY number of y is solvable (i think)
So "Green ballon normal Arrow" = [1,inf)
I would like to add to this. It could be considered overthinking the problem. When you tie up a balloon, you have a cone, which in 2d notation could be a triangle or a circle. Since we're looking at the balloon from the side and not the opening, it would be a triange. It is just as reasonable to say that they are balloons tied by a string, likely.
Also, when he references 'They' in the phrase, "They say it takes a genius to solve this", what 'They' is he referring to? The only thing that comes to my mind is other youtube videos where you don't have to be a genius, just attentive.
I'm not putting down his solution at all though, it's clever and can be seen in that way. I personally just don't think that to be the case.
To add a little rictus to your smile, why not take into account the colors, through their wavelenght or frequency? I agree with you about appearance that can be misinterpreted and only there as visual reference. Why not count the dots/square millimeter to assess 'a' number here.
The two green balloons should each have different values, because the up arrows are two different lengths. It is the longer arrow balloon which counts, but can we know for certain which of the two green balloons has the higher value?.....is value determined by length?
you said you would include all visual aspects of the problem. what about the different length of the strings then? does it change anything? dont know much about math that isnt like basic, but would love to know if that would change your answer
>"don't tell me to not overthink the problem"
>proceeds to overthink what a meme is in order to make an argument that he's not overthinking it, while also literally ignoring the fact that a balloon has a knot
The narrator is going to overthink your comment and say that there is no knot visible, just the flap of the balloon.
Sorry I had to 😛
You didn't take into account the length of the strings.
Eduardo - Who are you talking to? And we don’t know the lengths of the strings, so why take it into account? This is silly.
@Abu Mansaray So I'm not the only one noticed
Ok, so I didn't get that answer, and not a PhD in math, my answer was 31, but it was based on the red balloon = 10, the green balloon with the long arrow = 3 and green balloon with short arrow = 1. In that instance it assumes that balloons next to each other should be added instead of multiplied. Since the blue balloons have the same ribbon length, in this instance, they are the same number, and it had to be 1, therefore, my final result was 31. When I first saw it, I saw 21, but then remembered that there are some annoying trick equations like this before that say, 'well actually, this green balloon is different in this way and therefore must represent something different'. That was my logic to get 31. I never would have got 21.56 because I've never been exposed to those types of high level math equations before. The solution you've given makes sense, but I would argue that this problem technically has multiple answers and they are dependent on interpretation, because technically, any number of interpretations could be correct if the rules follow enough logic for them to do so.
Is it also possible this question needed to be discernible by those with color blindness or on black-and-white printing schemes, and that's why the balloon pairs differ more fundamentally? :-)
Me:It’s 21!
“Clicks on video”
*myself has left the chat*
GD Al = I also got 21, and this genius is overthinking it.
@@Toskrr "Genius"
It is fair enough that in the original puzzle the objects presented are not described as balloons, however once you describe them as “balloons” then there cannot be “arrows” as well. Either the “arrowhead” is an arrowhead or it is part of the balloon. Once you claim arrows you must then give away balloons and you may talk instead about balls or some other spherical or round object.
I... find it a bit of a leap. "The bottom of the balloon image, which would normally have a small, triangular bit formed by the string being tied around a dangling part, is actually secretly telling us to use a particular type of notation!" It looks like a slightly stylized balloon. You could take the color into account and blindly derive facts from the frequency of light, or the fact the up arrows resemble the way you show you like a post on various social media sites so we should use the year they were founded and just go forward, picking random details, until it works.
*It is the 8th time for this type of puzzle on this channel.* There is a long and a short string for green balloons. How can a genius miss such an important visual clue?
WiseOldDude
Exactly what I thought. His answer was just bs
For sure!
I have been tinkering on what that visual difference might be
WiseOldDude agree, i concern about the string length more than the balloons height position
exactly
The definition of "well yes, but actually no"
Definition of a genius is not someone who has learnt more or knows more stuff. It’s about logical thinking. So just because they’ve mentioned “only geniuses can solve this” doesn’t mean “only people who know advanced mathematics can solve this”
I was confused on why he used the direction, yet not the length of the balloons. My first (simple) awnser was 21. After realising it was supposed to be harder I thought of using the length. (Without going in to deep routes) the 1st balloon was 3 and the other one. Did the same for the blue ones and came out on 31
For this one I had a different approach... I noticed that the lengths of the strings in the pairs are different... so assuming we are working only with integer numbers, I could argue that the greens are 3 and 1 (based on each length) - notice that the other pair (blue) has same strings lenghts. As the final equation uses the one with the longe string, I would say the final answer could be: 31
Same. I noticed the arrows’ length difference and did the same thing too and got 31 as the answer
@@ritviksharma4914 NOT arrows, strings
I had a similar approach, but I got stuck on when short stringed green balloon has same value as a blue balloon, not sure if that’s allowed. So I had no answer as there are no more info to specify exactly how the lengths indicate the values.
@@Uyhn26 Good point.
The red string is shorter than the long strings on the green and blue balloons. Surely that out to be taken into account too?
"they" also say "only 7 percent of people" can answer 2nd grade trivia.....
"99% can't solve this genius problem"
@@scepto43 Mom: *Solves it in 0.0000002 seconds*
Dad: *4 Hours and half to solve the puzzle*
Your solution uses the visual clue of relative position of balloons in their pairing. Sounds reasonable. But you left one more visual clue unused, namely the length of the arrows under individual balloons. Would you care to revisit your solution, making sure that it uses that extra clue? (By the way, dismissing this extra clue as a "cropping" of the picture is invalid, since the arrow of the left blue balloons goes lower without any cropping.) Thanks!
As 3 red balloons 🎈 equals to 30 that implies 1 🎈 equal to 10 , and 2 green ballon equals to 4 and 2 ballon is subtracted to give 2 ballons that implies 1 green ballon equal to 2 and 1 blue ballon equal to 1 , 1 blue +1 red ×1 green equals to =1+10×2 =21 approx.
There is something called "Overthinking" and I think you just did that...
Yep
Kaixo did you watch the video at all? Go to the 3:30 ...
Holdegron3 Presh is just bored and this is very likely a joke or a way to get views
I had it solved within 15 seconds
Yep
You forgot to include the quantum equivalence of the volume in those baloons!
We also have to include time-space continuum and account for string theory..
You also have to keep in mind the air density difference between the balloons, and the rotational and translational speed of the planet, the solar system, the Galaxy, and even the universe (in conjunction with the multiverse theory).
And you also need to take the Coriolis effect into account.
@@ManuSankaran2410 What about Time Dilation?
This is the best passive aggressive comment about his way of solving this.
Could one also interpret those 'arrows' as the end of the balloon as tied up with a string running down? Why do the green and red balloon arrows show the top point, where the blue balloon doesn't show the point?
i dont think anyone picked up but technically you can get -20 and -21 saying that the green balloon can be -2 and the blue balloon can be -1
By order of operations, the solution would be 21 [1+(10x2)]
- If you ignore order of operations and apply straight left-to-right solving, it would be 22 [1 + 10 = 11, x 2 = 22]
- If you apply "higher-level" mathematics with the Lambert W function, you arrive at a solution of ~21.56.
Having two or more possible solutions implies some level of indeterminacy -- that we can't know with certainty that we are taking all possible variables into account. Therefore, it is best to apply all three solutions and establish that in this case, the answer is a range of results where any value between 21 and 22 may be correct.
However, if we likewise apply the Occam's Razor principle (when presented with competing hypotheses about the same prediction, one should select the solution with the fewest assumptions -- basically, "the simplest solution is usually the best one"), you'd arrive at the simplest logical solution being that the answer is 21.
Which is a fancy way of saying that if you came up with any answer other than 21, you're overthinking it. KISS.
Wow
That is over thinking it
Hypothesis for same prediction. Not for different predictions (21 and 21.56). It is not same as choose simplest explanation. It is choose simplest explanation if both explanation are for same result.
@@shreshthjaiswal1966 yeah I was like "WHAT?! so you're telling me that you can just ignore a complicated answer based on your own biases of what complicated is??"
21.56 rounded up is 22.
The best example of a mountain out of a mole hill I have ever seen...
Obviously, when we follow common sense. But that mole hill has crucial significance in some cases. An error of analysis like this could be the difference between life and death for an astronaut, for example. But I do think the narrator went too far in this instance. If the question truly was intended to include the Lambert function/etc. then I doubt it would have used balloon cartoons. It would've depicted some other, better, symbology.
..... or the Universe out of nothing!
@@rhmayer1 It's funny that you make a logical conclusion after saying it's common sense, thereby nullifying that it is common sense.
@@teeemm9456 You've misinterpreted my use of "common sense." My use of "common sense" was in reference to whether or not the question involved/required the use of the higher math solution presented in the video. I was arguing that common sense would dictate that the higher math solution was not necessary or implied to be required. Common sense suggests that pictures of balloon cartoons suggests simplicity. Complexity, denoting an implied requirement of higher math, would use a different symbology to portray the problem - something less ambiguous as balloons, where the "arrow" could easily (and IS) interpreted by most as strings to the balloons, with the arrowhead interpreted as the tied off bottom of the balloon. It is that arrowhead/tied off balloon that creates the ambiguity, and therefore since not specific in it's higher match symbology (which I would believe show a small space between the tip of the arrowhead and the bottom of the "balloon" to distinguish it as an arrowhead and not the string of the balloon) it is more appropriate to interpret the depiction with the "common sense" interpretation of balloons and strings rather than spheres with arrows.
Perhaps more to your point, I don't think that common sense and logic are mutually exclusive. In fact, I think intuitive logic is used as the basis for common sense in perhaps many examples of common sense.
@@rhmayer1 Regardless, math is still a learned subject. Common sense is tired phrase we should probably remove from vernacular because it fails to represent actual meaning and is used mostly to attack.
Common sense implies an assumed majority level of conformity for judgement or sense. It often gets confused for simple logic. I understand what you're saying but I still think it should be retired from use.
Checked out hyper-4 operations and higher just last year. Cool to see it on TH-cam.
This trick has been used in so many math puzzles that it's not even hard anymore, I solved it easily with the thumbnail alone.
When my friends tell me I over complicate, I'm sending them here.
Math is not about overcomplicating, it's about accuracy
@@tomsterbg8130 The point I'm making is I solved this in a much simpler manner, and got an answer that 99.99% of the population would accept. My way took about a minute.
3 red = 30. 1 red is 10.
1 red plus 4 green = 18. 18 -10=8. 8 ÷ 4 green. 1 green=2.
2 green - 2 blue = 2. 2 green =4. 4-x=2 makes x=2. So 2 blue ballons is 2, so 1 is 1.
Now do 1 + 10 × 2. You get 21. Anyone can do that. This guy over complicated it. It's almost laughable. It's like the one guy who overcomplicates unnecessary things by applying laws with big names all to impress people. He's the "Um, actually" meme taken to a whole new level. In what average world does 4 - 3.12 = 2? Lol.
@@Rainbow_Neos1 yeah, he tries to act smart, but his working out is completely incorrect. If you put three numbers in a place for each colour and each each equation is correct, then we are correct, not him.
@@Rainbow_Neos1 It's not 1.56×2 in his solution. He uses y^y so it is 1.56^1.56 and this is equal to 2
@@EL-gz5tq By that logic, each balloon does not have an equal value and is instead dependant upon the number there. That's ridiculous and not logical. One balloon is one balloon regardless of it there is another.
I got 21 before even clicking on it now lets see
*close enough*
It is 21 your right
Me too.
I as well got 21. Mind calculation.
@@HDGUILLEN it's 31. The second Green arrow is smaller. So we could say it's a 1.
Melch1Ball thats not an arrow lmfao. Thats a balloon tip and string
How are the directions of the balloons different how do you tell?
He didn't overtink it. I did the simple version mentally, but WAY over thought it assuming the conjoined balloons were subject to the order of multiplication or division based 9n position....
That makes my brain twist!
Pairs of balloons without operators in between can also implicate a multiplication, meaning that green is the root of 4 (gives 2) and blue is the root of 2 (gives ~1.41)
Which means you get ~21.41
Yes! That was my first answer, too. And 21 my second answer because I thought: nah, that’s too nerdy 🤓
also what I was thinking
exactly
Everytime you ask "did you figured it out" a little piece of my self-confidence disappears...
😂😂😂
I thought you were going to say that the length of the arrow would change the value - one of the green's arrows in each of the first three equations is shorter than all the others. So maybe the one with the longer string is 3, while the shorter string is only 1, which would change the final answer to 1 + 10 * 3 = 31.
But by the way, this is the reason I hate ALL of these "puzzles" online, because they are ALL deliberately set up so that there is no right answer - or at least no single definite right answer - so that WHATEVER answer you give, whoever set it can say you're wrong. Hence why they can so confidently claim that "no one has found the correct answer yet."
The correct answer is: it's a nonsense picture of some balloons, numbers and mathematical symbols. 😜
31. Green pair with uneven strings signifies uneven split of 4. Larger string indicates larger value, so Green(large) is 3. But yeah, different paths.
I got 21
Unknown Gamer Thanks. Thought I was the only one!
I must remind you that 11 x 2 is 22.
Vincent Amdjadi Multiplication happens before addition :)
Same
Vincent Amdjadi nah
Judging by the most common answers to “intellectual” riddles like this one, I would assume the “genius” part merely refers to the mysterious Order Of Operations. This is seemingly a macabre rocket science theory many flat-earthers deny existing.
you mean the rocket science that claims that: In a vacuum, with no outside force active, if you are inside a tube, and push against the inside of the tube, the tube will move in the opposite direction of the push ?
@@Goldenhawk583 no, the tube would move in the same direction that you pushed
@@oodogla but in space, with no air, there is nothing to push against, and if you have nothing to push against, you aint going nowhere.
there is also no air for the flames they show , so.. no flames possible.
@@Goldenhawk583 i think theres a misunderstanding in your first comment, you said "inside of the tube" which i would think means your pushing the tube itself but what youre describing seems to imply you are simply moving in the space inside of the tube without touching the actual tube. (i havent actually heard of this whole moving thing before and just assumed based off context clues so i might be wrong)
@@deathcraftftw2924 My point is simply.. No matter how intense and powerful a blast out the backend of a rocket is designed to be.. If there is nothing ( like air), to feed the flames , it will not really make a blast. And if it is fed air in the tube and does blast.. if there is no air to push against EITH said blast.. the rocket wont move.
Apprently they claim to make their own barrier inside the bast tupe, for tha blast to push against, to move the rocket.. which makes no sense at all.
Not sure due to the shorter arrow what does that change?
8:00 'Did you figure it out?'
Me: 'Well, no, obviously!'😂