Hey people, note this: * Any 3 *all different* numbers. Including 0. * After the first substraction: ignore the negative (-) and consider any two digit number as a three digit number filling with a zero. Example 1: 506-605=-99 change -99 to 099. Its reverse is 990. Finally: 099+990=1089. Example 2: 012-210=-198. change it to 198. Finally: 198+891=1089. Have fun! :)
@@armlatv2260 that's exactly what I was wondering about. Matter fact I chose 666 when my brother watched this video and tried to do the trick on me. Well now here i am in the comments trying to find what u do it someone pics 111 222 ...
Represent the number as: 1*X + 10*Y + 100*Z. The inverse would be: 1*Z + 10*Y + 100*X. Subtract the inverse and get: 99*Z - 99*X. Also can be written as: 99*(Z-X). Lets replace (Z-X) with N: 99*N. Lets rewrite as: 100*N - N. Lets rewrite as 100*(N-1) + 100 - N. Lets rewrite as 100*(N-1) + 90 + (10-N). Thus the inverse is: 100*(10-N) + 90 + (N-1). Add these together and we get: 99*N + 1000 - 100*N + 90 + N - 1. Squish together and get: 1000 + 90 - 1 = 1089 QED
If abc is the 3 different digit number we can write it algebraically as 100a+10b+c Then the reverse digit number will be 100c+10b+a Now subtract the reverse digit number from original one (100a+10b+c)-(100c+10b+a) The new number will be (100-1)a+(10-10)b+(1-100)c Or 99a-99c Or *99(a-c)* ..... (1) Since a and c are single digit numbers i.e a, b belongs [0,1,2,3,4,5,6,7,8,9] So (a-c) will also be a single digit number. [But a≠0 because abc is a 3 digit number] Henc (a-c) belongs to [1,2,3,4,5,6,7,8,9] _We excluded 0 because a-c=0 if and only if a=c And we know that a,b and c are three different digits. a≠c Now lets substitute the other possible values of (a-c) one by one For *a-c=1* (1)=> 99×1=99 Now add reverse 99+99=198 Add reverse digit number again 198+891=1089 For *a-c=2* (1)=> 99×2=198 Now add reversed digits 198+891=1089 For *a-c=3* (1)=> 99×3=297 Now add reversed digits 297+792=1089 For *a-c=4* (1)=> 99×4=396 Now add reversed digits 396+693=1089 For *a-c=5* (1)=> 99×5=495 Now add reversed digits 495+594=1089 For *a-c=6* (1)=> 99×6=594 Now add reversed digits 594+495=1089 For *a-c=7* (1)=> 99×7=693 Now add reversed digits 693+396=1089 For *a-c=8* (1)=> 99×8=792 Now add reversed digits 792+297=1089 For *a-c=9* (1)=> 99×9=891 Now add reversed digits 891+198=1089 Similarly for negative values of (a-c) Ignore the negative we will conclude with the same answers. I have tried to verify it by putting all possible values. I will be more than grateful if you share your kind opinion or correction.
It was sweet and concise until the last part, thanks a lot for the explanation. (but...) (let d = a-c) 99(d)+(inverted_99(d)_) = 99(11) = 1089 I am having a hard time proving that last part but it has to do with prime numbers added to 11. For 2, 2+9 and 9+2, for 3, 3+8 and 8+3, 5 goes with 6, 7 goes with 4. 1 is not a prime number and doesn't go with anything hence i am having a hard time finding the rule that would render the last part of your reasoning slick and concise like the first part was... 1089 is 33 squared, (11)(99), (11)(11)(3)(3). I know the answer is somewhere in this haystack, someone please find my needle lol. Thanks
Mathematical explanation: Let's say that the hundreds digit is greater than the units digit (if its the other way you will need to negate the result which is basically like negating the first operation and -(x-y)=y-x so we can continue as if it was this way to begin with) and let's call the hundreds digit "a" and the units digit "b" so a>b. I will also represent the numbers with their digits divided by commas so I would be able to represent digits with algebraic expressions (132=1,3,2) Step #1: subtract the reverse: Let's separate the subtraction into steps: A. Subtract the middle digit: the middle digit will be subtracted by itself so it does not matter. We are left with a,0,b - b,0,a B: Subtract the hundreds digit: as a>b we know that the result will only affect the hundreds digit. Now we are left with (a-b),0,b - a C: Subtract the units digit: as b
90s baby here. When the gameboy got boring i used to play with a calculator and discovered this when i was a wee kid. I thought i was a genius xD showed everyone in school the next day
@@harshitgaming9962 The reverse of 2002 is itself, and not a different number (with the emphasis on ‘a different number’); hence it doesn’t count. Any number could divide itself, so what! We are talking about the nontrivial reverse divisors. Palindromic numbers have reflectional symmetry across the vertical axis.
Very nice, this will score many free drinks at the pub for me here in Ireland. Thanks for always offering easy doable tips and tricks. Love the channel
I don't get many free drinks but I do know how to get the cheapest drinks. You see it's this magic power I have, I can drink your drink and then make it appear back in the glass. Don't believe me? Well, I don't wanna take all your money, I'm that confident, so bet you 10c i can do it. *Drink is drunk* *Weird mystic hand gestures and mumbling* Ah well, guess it didn't work, here's your 10c If you do it right whoever you got will start laughing and probably send all his mates round to you as well.
453 - 354 = 99 to in some cases where there is a difference of 1 between first and last digit you would have to add 0 to the first result to get 1089 but it will still work just add extra step by saying: " Add 0 in the end if you got a two digit result".
the number only needs to be not symmetrical. Two of the same are fine as long as they are something like 221 oder 667. Only problem is something like 121 or 444. edit: even 998 is fine as long you treat the result of { 998 - 899 = 99 } as a three digit number of 099. 099 + 990 = 1089
Also if you do the first part where the subtraction happens, you can predict the result of the operation if you know the first or last digit of it. middle digit is always 9 and the sum of the other two digits is always 9. So in the example of the video we have 495, knowing 5 you can find 4 and construct 495. People will be surprised. The only case where this doesn't work is with 3 digit numbers where all digits are the same (eg 444, 888 etc)
Here's why it happens: 1. **Three-Digit Number**: Consider any three-digit number where the first and last digits differ by at least two. Let's call it ABC, where A, B, and C are its digits. 2. **Reversing and Subtracting**: When you reverse this number, you get CBA. Subtracting CBA from ABC (assuming A is greater than C) gives a new number. This subtraction aligns with the form (100A + 10B + C) - (100C + 10B + A) = 99A - 99C. 3. **Result of Subtraction**: Simplifying 99A - 99C, you get 99(A - C). Since A and C are at least two digits apart, the minimum value for (A - C) is 2 (e.g., if A is 3 and C is 1), and the maximum is 9 (e.g., if A is 9 and C is 0). This results in a number that is two digits long, and its first digit is always 9. 4. **Intermediate Number Characteristics**: The intermediate number (after subtraction but before adding the reverse) is always of the form 9X9, where X is a digit. This is because the hundreds and units place will always be 9 due to the subtraction process described above. 5. **Reversing the Intermediate Number**: When you reverse this number, it becomes 9X9 again, as reversing doesn't change the position of the digits due to its symmetry. 6. **Final Sum**: Adding the intermediate number and its reverse, both being 9X9, will always lead to 1089. This is because 900 + 90 + 9 equals 999, and adding it to another 999 (since the reverse is the same) results in 1089. In summary, the specific properties of base-10 subtraction and the constraints placed on the original number (three digits, first and last digits differ by at least two) ensure that this trick works, leading to the consistent result of 1089.
That's so awesome..thank you....unless it's not. Ramanujam taxi number(story) is 1729 which is the smallest number which can be expressed as the sum of two different cubes in two different ways.
When I was 8 I discovered that you can take any number larger than 9 and up to infinity and subtract its opposite and that number is ALWAYS perfectly divisible by 9, or 3 because 3 squared is obviously 9
The claim should be that the difference of any number (greater than 9 and not equal to its mirrored version) and its mirrored version, is always divisible by 9. Essentially, it all comes down to this: If a>0; x, y ≥ 0; x>y and a, x, y are all integers: D = a * (10 ^ x) - a * (10 ^ y) = = a * ((10 ^ x) - (10 ^ y)) = a * M D is divisible by 9 if M is also divisible by 9. M is always divisible by 9 for the same reason the differences 1000-10=990 and 100-1=99 are all divisible by 9.
I paint cars for one job, but I work in a bar for my second job and this simple thing has blown a few minds. It’s fun to see the reaction on new customers. It’s a great way to generate fun conversation and I don’t know how many will start watching your channel, but the comments I get have been fantastic. I’ve been using a few card tricks and it’s brought in new people as well. Thank you so much for teaching me. Magic brings the inner child out in everyone. Thank you so much again! I do know one card trick, that you may know, and if I get my internet connection back up and running after my home improvements I’ll make you a video to show you. I can’t wait. Hopefully you won’t know it, but I’m sure you do. Unfortunately I never new it’s name though. I’ll practice it more so it will be as seamless as possible like your videos. Take care❤
*Let three digit number:* xyz= 100x +10y+ z *Reverse:* zyx = 100z + 10y + x *Subtract:* xyz-zyx = a9b After subtraction, the result is a9b.. where Middle digit is always 9 and sum of a and b is always 9. *Reverse again:* b9a *Add:* a9b + b9a = (a+b)/18/(a+b) We know a+b = 9 Let's put the values: 9/18/9.. Carry 1 of 18 to hundredth place, so it becomes 10/8/9.. i.e. 1089. No it's not magic.. simple maths...
Let the unique digits of the number be *x* , *y* , *z* in order. So the number is: *100x + 10y + z* And the reverse of it is: *100z + 10y + x* Subtracting the reverse from original gives: *99(x-z)* If *x>z* let *t=x-z* , else let *t=z-x* So the number we have, ignoring the sign, is: *99(t) = 100(t) - t* *= 100(t-1+1) - t* *= 100(t-1) + 100 - t* *= 100(t-1) + 10(9) +(10 - t)* Possible values of *t* : 1 to 9 *(t-1)* : 0 to 8 *(10 - t)* : 1 to 9 so they are single digits. So the number we have is: *100(p) + 10(9) + q* where *p = (t-1)* *q = (10-t)* The reverse of this number is: *100q + 10(9) + p* Adding these together, we have: *101(p + q) + 180* *= 101(t-1 + 10-t) + 180* *= 101(9) + 180* *= 1089*
3 different numbers even don't need. You can assume atleast 2 same numbers either on left side of 3 digit set or at right side of them, for example 221 or 122 or 488 or 884. These sets of numbers also work.
The phenomenon you're describing with the number 1089 is a well-known mathematical trick. It works with most three-digit numbers, as long as the first and last digits differ by at least two. Here's how it works: Choose any three-digit number where the digits are not all the same (like 651). Reverse the digits to form a new number (156 from 651). Subtract the smaller number from the larger number (651 - 156 = 495). Reverse the digits of this result (594 from 495). Add this number to the original difference (495 + 594). The final result is almost always 1089. This trick works because of the properties of number manipulation and digit rearrangement
When I first heard this, I was told no repeat numbers. But it doesn't work if you say: 132 or 796 , 495, 738, etc. If the 1st and 3rd numbers are sequential, the inverce makes 99.
You can't just ignore the minus of a negative number. you have to flip it (hit +/- button). if you add to a negative number it's not going to work. OR you can make the trick look more impressive and (seemingly unpredictable) by asking them if the number is positive or negative. If it is positive, add, if negative, subtract.
If they get a negative number after the first step, ignoring it is a bad idea, because if they don't clear it out and re-type it correctly as a positive number, this will not work.
Look it in this way... Take any 3 digit number and calculate it's difference from it's opposite number. Use word difference. Difference of any two numbers is considered positive.
No need to clear it out. Simply multiply by "-1", OR subtract its reverse instead of adding it, OR click on the change sign (+/-) function (if one is available).
To everyone! Every 3 different digits works if it's done in the right way! 🙃 Edit To replies:- I can't calculate every number so here are the two common mistakes- 1) Listen carefully in the video if you get an answer in negative ➖ remove that and make it positive! 2) If you get an answer as a two digit number (most commonly 99) add 0 before the number so 99 becomes 099 then add 099+990 = 1089 🤓
If we take 897 and subtract it by reversing the number which is 797 so it will be 897 -798 =99 So after that we will add it by reversing the number but here the two digits of the number is the same so it will be 99 + 99 =189 It happen with many number still some number have a different result . There are many number that have a different result like 291 , 136 , 102, 594 .
You can technically do it with larger than 3 digit numbers, but you need to start adding in a decimal place to make it equal 1089. Otherwise you start getting things like 108090.
@@USE_YOUR_BRAIN So, I realize it's not how you would probably normally treat a decimal. But yeah, if you use ###.# instead of ####, it will work. Last I tried at least.
I have written a program to check all the 3 digits numbers. Only 640 have 1089 answers. The rest is incorrect because it will encounter a palindrome during the process.
You last digit should be lower than first digit for this to work. Best case , ask for number in decreasing order. It only works if number is in decreasing order. Like 652, 873 , 892, 583 etc
She said to ignore the negative so it doesn't matter which of the two digits is larger. It only doesn't work when the first and last digits are the same
@@mayankbaber9384Never Proposed it, Most People really don't appreciate his far more superior work in Advanced Number Theory as much as Trivial Results in ordinary Arithmetic which they claim he discovered it(It's the case of Cultural Superiority).
Below is a very very long and rather convoluted mathematical explanation of this problem. Let the first digit of the first number be a, second digit be b and third digit be c. Then, first number = 100a + 10b + c Reverse of this number= 100c + 10b + a First number - its reverse = 100a + 10b + c - (100c + 10b + a) = 99a - 99c = 99 (a - c) The next set of calculations is to find the 3-digit formula of the above number. = 99 (a - c - 1) + 99 = 100 (a - c - 1) - a + c + 1 + 90 + 9 = 100 ((a - c) - 1) + 90 + (10 - (a - c)) Thus, we have the first digit of the difference as (a - c) - 1, second digit as 9, and third digit as 10 - (a - c). The reverse of the above number is = 100 (10 - (a - c)) + 90 + ((a - c) - 1) Sum of the above 2 numbers = 100 ((a - c) - 1) + 90 + (10 - (a - c)) + 100 (10 - (a - c)) + 90 + ((a - c) - 1) = 100(a - c) - 100 + 90 + 10 - (a - c) + 1000 - 100(a - c) + 90 + (a - c) - 1 = 1000 + 90 - 1 = 1089 One peculiar scenario where this rule might fail is when the difference of the first number and its reverse is 99. E.g. 201 - 102 = 99 In this case, 99 + 99 = 198 which is not equal to 1089. However if we consider 99 as a 3-digit number, that is 099, then we have 099 + 990 = 1089.
[Abc]-[cba] = 100a+10b+c - 100c-10b-a= 99a-99c = 99(a-c) = 11.9.(a-c) Kí hiệu [ abc] là số có 3 chữ số k phải tích của 3 số a, b, c a-c 0 Khi đó đặt: a-c = m (0
cause you arre not respecting the request of the magician: "numbers have to be different". So you can't choose numbers like 111 or 181 or 226, cause they are not all different numbers
@@usernameusernamwell it works for the numbers you mentioned. It is just that you ignore the negative sign if the difference is negative and if the difference comes out as a 2 digit number you should consider it as 3 digits with 100's place being "0" and proceed. For example for 102 102-201=-99 Ignore the -ve sign and consider it as 099 099+990=1089
Hey people, note this:
* Any 3 *all different* numbers. Including 0.
* After the first substraction: ignore the negative (-) and consider any two digit number as a three digit number filling with a zero.
Example 1: 506-605=-99 change -99 to 099. Its reverse is 990. Finally: 099+990=1089.
Example 2: 012-210=-198. change it to 198. Finally: 198+891=1089.
Have fun! :)
but if I take 111;222;333?
@@armlatv2260 that's exactly what I was wondering about. Matter fact I chose 666 when my brother watched this video and tried to do the trick on me. Well now here i am in the comments trying to find what u do it someone pics 111 222 ...
@@armlatv2260he said 3 different numbers
But, how possible to add 0 in fron of 99 in calculator?
00:07 choose any 3 different numbers
Pro tip - don't ask same person twice.
Then they get it 😂
Then they get it 😂
Then they get it 😂
Then they get it 😂
Why are you all replying the same 👁️👁️
This got me laid. Thank you
I've watched all your videos .I love magic. Since I was 15.57 now...your very beautiful. I learned a lot. Don't stop practicing magic..
Represent the number as: 1*X + 10*Y + 100*Z.
The inverse would be: 1*Z + 10*Y + 100*X.
Subtract the inverse and get: 99*Z - 99*X.
Also can be written as: 99*(Z-X).
Lets replace (Z-X) with N: 99*N.
Lets rewrite as: 100*N - N.
Lets rewrite as 100*(N-1) + 100 - N.
Lets rewrite as 100*(N-1) + 90 + (10-N).
Thus the inverse is: 100*(10-N) + 90 + (N-1).
Add these together and we get: 99*N + 1000 - 100*N + 90 + N - 1.
Squish together and get: 1000 + 90 - 1 = 1089
QED
I'm teacher of math. Thank you!!! 😊
I came up to 100*N-N, then I saw your comment.😂
Adding and subtracting 100 was a brilliant move.❤
Genius bro
Its real🔥🔥🔥
جامد ياسطا
If abc is the 3 different digit number we can write it algebraically as 100a+10b+c
Then the reverse digit number will be 100c+10b+a
Now subtract the reverse digit number from original one
(100a+10b+c)-(100c+10b+a)
The new number will be
(100-1)a+(10-10)b+(1-100)c
Or
99a-99c
Or *99(a-c)* ..... (1)
Since a and c are single digit numbers i.e
a, b belongs [0,1,2,3,4,5,6,7,8,9]
So (a-c) will also be a single digit number.
[But a≠0 because abc is a 3 digit number]
Henc (a-c) belongs to [1,2,3,4,5,6,7,8,9]
_We excluded 0 because
a-c=0 if and only if a=c
And we know that a,b and c are three different digits. a≠c
Now lets substitute the other possible values of (a-c) one by one
For *a-c=1*
(1)=> 99×1=99
Now add reverse
99+99=198
Add reverse digit number again
198+891=1089
For *a-c=2*
(1)=> 99×2=198
Now add reversed digits
198+891=1089
For *a-c=3*
(1)=> 99×3=297
Now add reversed digits
297+792=1089
For *a-c=4*
(1)=> 99×4=396
Now add reversed digits
396+693=1089
For *a-c=5*
(1)=> 99×5=495
Now add reversed digits
495+594=1089
For *a-c=6*
(1)=> 99×6=594
Now add reversed digits
594+495=1089
For *a-c=7*
(1)=> 99×7=693
Now add reversed digits
693+396=1089
For *a-c=8*
(1)=> 99×8=792
Now add reversed digits
792+297=1089
For *a-c=9*
(1)=> 99×9=891
Now add reversed digits
891+198=1089
Similarly for negative values of (a-c)
Ignore the negative we will conclude with the same answers.
I have tried to verify it by putting all possible values. I will be more than grateful if you share your kind opinion or correction.
Reasonable. 💀👍🏼
Nobody care 😂
It was sweet and concise until the last part, thanks a lot for the explanation. (but...)
(let d = a-c)
99(d)+(inverted_99(d)_) = 99(11) = 1089
I am having a hard time proving that last part but it has to do with prime numbers added to 11.
For 2, 2+9 and 9+2, for 3, 3+8 and 8+3, 5 goes with 6, 7 goes with 4. 1 is not a prime number and doesn't go with anything hence i am having a hard time finding the rule that would render the last part of your reasoning slick and concise like the first part was...
1089 is 33 squared, (11)(99), (11)(11)(3)(3).
I know the answer is somewhere in this haystack, someone please find my needle lol.
Thanks
111*99=
Do it with 584 😐
She has a soothing voice
love your voice ❣️
This concept has already describe by our great mathematician RAMANUJAN
True❤❤
By ye to chota mota chiz hain sir ramanujan ki theories black hole ke eqn tak me use hoti hain 🔥🔥🔥🔥🔥🔥
Y man you are bringing ramanujam here😂
Hahaha😂
@@mrameshmrkbeacause Ramanujan our proud❤🤨
Mathematical explanation:
Let's say that the hundreds digit is greater than the units digit (if its the other way you will need to negate the result which is basically like negating the first operation and -(x-y)=y-x so we can continue as if it was this way to begin with) and let's call the hundreds digit "a" and the units digit "b" so a>b.
I will also represent the numbers with their digits divided by commas so I would be able to represent digits with algebraic expressions (132=1,3,2)
Step #1: subtract the reverse:
Let's separate the subtraction into steps:
A. Subtract the middle digit: the middle digit will be subtracted by itself so it does not matter. We are left with a,0,b - b,0,a
B: Subtract the hundreds digit: as a>b we know that the result will only affect the hundreds digit. Now we are left with (a-b),0,b - a
C: Subtract the units digit: as b
152?
102 ?
857 and 859?
Great work
Phenomenal..
You are such a talented and wonderfully unique gal! And so beautiful! Wow! Your hands move with god given talent!
1. Chosen number by audience: 100x +10y + z (A). The criteria are x≠y≠z; x, y, and z are integers with 1
90s baby here. When the gameboy got boring i used to play with a calculator and discovered this when i was a wee kid. I thought i was a genius xD showed everyone in school the next day
Magic with maths... Kudos to S Ramanujan
We live in the Six house❤
Yes he studied mosa al alkhwarzmi mathematics
@@loveboy_forever 🤣🤣
1089 and 2178 are reverse-divisible numbers; the only four-digit numbers that divide their reverse.
2002
@@harshitgaming9962 The reverse of 2002 is itself, and not a different number (with the emphasis on ‘a different number’); hence it doesn’t count. Any number could divide itself, so what! We are talking about the nontrivial reverse divisors. Palindromic numbers have reflectional symmetry across the vertical axis.
@@harshitgaming9962were not talking about palindromic numbers, because she said three different numbers.
Very nice, this will score many free drinks at the pub for me here in Ireland. Thanks for always offering easy doable tips and tricks.
Love the channel
Why ya mingy Leprechaun!!, and how about if everyone in every pub everywhere has watched this video already!? 🤓🤣😆
I don't get many free drinks but I do know how to get the cheapest drinks.
You see it's this magic power I have, I can drink your drink and then make it appear back in the glass. Don't believe me? Well, I don't wanna take all your money, I'm that confident, so bet you 10c i can do it.
*Drink is drunk*
*Weird mystic hand gestures and mumbling*
Ah well, guess it didn't work, here's your 10c
If you do it right whoever you got will start laughing and probably send all his mates round to you as well.
Okay, now let's learn how to make that paper box.
😂
Waiting..😂
She heard you. The very next video is the box.
😂
yes she did! (now aggresively practicing making the box)@@themacocko6311
It's a nice ons
WOW you are magician 😮
I love the way you say "let's learn". I only wish my teachers in school would have encouraged me like you have.
No your just disappointed and wish to get back in school times😂
Stop blaming teachers dude
Well stop blaming others, many have learnt and excelled even if it wasnt fun. 😂😂
What have you learnt exactly from the short?
@devrajdwivedi01 blaming? Who's blaming teachers, blaming them for what?
453 - 354 = 99 to in some cases where there is a difference of 1 between first and last digit you would have to add 0 to the first result to get 1089 but it will still work just add extra step by saying: " Add 0 in the end if you got a two digit result".
99 in the same as 099. Also this works with as many digits. With 4 digits it’s 10,989. And so on
Solve this my number is 323
@@peacelover5571they all have to be different number
@@peacelover5571brother it should have three different numbers 🙄 but your number is 323 - where three is repeated twice.
263 also
I like the papers unfolding sound and her voice
Discovered by Howard Thurston 1869-1936
Three different numbers is key, dont forget that.
Works for 100, but not 101😅
the number only needs to be not symmetrical. Two of the same are fine as long as they are something like 221 oder 667. Only problem is something like 121 or 444.
edit:
even 998 is fine as long you treat the result of { 998 - 899 = 99 } as a three digit number of 099.
099 + 990 = 1089
Yap like 102-201=99+99😂😂😂 do u even knw Math
@@ApayeYaksaya 99 read as a three digit number is 099...
099 + 990 = 1089 ✌🏻
@@ApayeYaksaya is 099
For 3 digit its 1089
For 4 digit its 10890
For 5 digit its 109890
For 6 digit its 1098900
And carry on.....if we do the same process....😍😍😍
Doesn't work for any 3 digit #.
Needs to be 103 or higher
102 = 99
101 = 0
100 = 0
😊
111
@XYZyt if you get 99 then add it with 990 because 99 can also be written as 099😊😊
564 doesn't work
For 2 digit ??
U r amazing ❤
Also if you do the first part where the subtraction happens, you can predict the result of the operation if you know the first or last digit of it. middle digit is always 9 and the sum of the other two digits is always 9. So in the example of the video we have 495, knowing 5 you can find 4 and construct 495. People will be surprised. The only case where this doesn't work is with 3 digit numbers where all digits are the same (eg 444, 888 etc)
Here's why it happens:
1. **Three-Digit Number**: Consider any three-digit number where the first and last digits differ by at least two. Let's call it ABC, where A, B, and C are its digits.
2. **Reversing and Subtracting**: When you reverse this number, you get CBA. Subtracting CBA from ABC (assuming A is greater than C) gives a new number. This subtraction aligns with the form (100A + 10B + C) - (100C + 10B + A) = 99A - 99C.
3. **Result of Subtraction**: Simplifying 99A - 99C, you get 99(A - C). Since A and C are at least two digits apart, the minimum value for (A - C) is 2 (e.g., if A is 3 and C is 1), and the maximum is 9 (e.g., if A is 9 and C is 0). This results in a number that is two digits long, and its first digit is always 9.
4. **Intermediate Number Characteristics**: The intermediate number (after subtraction but before adding the reverse) is always of the form 9X9, where X is a digit. This is because the hundreds and units place will always be 9 due to the subtraction process described above.
5. **Reversing the Intermediate Number**: When you reverse this number, it becomes 9X9 again, as reversing doesn't change the position of the digits due to its symmetry.
6. **Final Sum**: Adding the intermediate number and its reverse, both being 9X9, will always lead to 1089. This is because 900 + 90 + 9 equals 999, and adding it to another 999 (since the reverse is the same) results in 1089.
In summary, the specific properties of base-10 subtraction and the constraints placed on the original number (three digits, first and last digits differ by at least two) ensure that this trick works, leading to the consistent result of 1089.
Wow you got so much time ⏲️ to waste
😂😂😂. We r doing this from school
Appreciated . Thank you❤
If you Add 2 time's 999 it give you 1998 not 1089
For that one number must b only 99 and another 999
She told use 3 different numbers 🔢 dummies 😂😂
This was discovered by Ramanujan while sitting in a taxi...
The Math Genius of the millennia...
Ok bro we get it
That's so awesome..thank you....unless it's not. Ramanujam taxi number(story) is 1729 which is the smallest number which can be expressed as the sum of two different cubes in two different ways.
Ramajuna, who is that?
@@mockingbird8734 its 'SRINIVASA RAMANUJAN'
He was the one of the greatest Indian Mathematician of modern time.
@@rahulpathak1992correct
Superb trick ❤🎉thanku
Same trick applicable for two digit number .... Final answer is 99 always
Wow🎉…..Thanks for sharing ❤
When I was 8 I discovered that you can take any number larger than 9 and up to infinity and subtract its opposite and that number is ALWAYS perfectly divisible by 9, or 3 because 3 squared is obviously 9
Wow
11?
@@indiangamingchronicle11-11=0 and 0 is divisible by 9 as 0/9 = 0
The claim should be that the difference of any number (greater than 9 and not equal to its mirrored version) and its mirrored version, is always divisible by 9. Essentially, it all comes down to this:
If a>0; x, y ≥ 0; x>y and a, x, y are all integers:
D = a * (10 ^ x) - a * (10 ^ y) =
= a * ((10 ^ x) - (10 ^ y)) = a * M
D is divisible by 9 if M is also divisible by 9.
M is always divisible by 9 for the same
reason the differences 1000-10=990 and 100-1=99 are all divisible by 9.
@@indiangamingchronicleare you in grade 1? 11-11 is 0, 0 is divisible by all natural numbers.
I paint cars for one job, but I work in a bar for my second job and this simple thing has blown a few minds. It’s fun to see the reaction on new customers. It’s a great way to generate fun conversation and I don’t know how many will start watching your channel, but the comments I get have been fantastic. I’ve been using a few card tricks and it’s brought in new people as well. Thank you so much for teaching me. Magic brings the inner child out in everyone. Thank you so much again!
I do know one card trick, that you may know, and if I get my internet connection back up and running after my home improvements I’ll make you a video to show you. I can’t wait. Hopefully you won’t know it, but I’m sure you do. Unfortunately I never new it’s name though. I’ll practice it more so it will be as seamless as possible like your videos.
Take care❤
Do you do car wrapping ?
☺️
I started learning magic now , thanks
Love 💕 u dude
*Let three digit number:*
xyz= 100x +10y+ z
*Reverse:*
zyx = 100z + 10y + x
*Subtract:* xyz-zyx = a9b
After subtraction, the result is a9b.. where
Middle digit is always 9 and sum of a and b is always 9.
*Reverse again:* b9a
*Add:*
a9b + b9a = (a+b)/18/(a+b)
We know a+b = 9
Let's put the values:
9/18/9.. Carry 1 of 18 to hundredth place, so it becomes 10/8/9.. i.e. 1089.
No it's not magic.. simple maths...
Bro
Prabhu 😳🙏🙏🙏
Mai aapke charno me sparsh hu prabhu🎉🎉😂😂
It's not magic, but just a magical number.
Nerd
Exception:- Don't take the same number on first and 3rd digit 😊
😂 yes, it acts as a barrier
Yeah that’s why she said pick 3 different numbers at the beginning!
That was my 10 year old's initial move. I told him he broke it. He thinks he's hilarious now.
@@torigroves1048102 are three different numbers and it gives an end result of 0.
685 is chilling 😎
if the number was: 555
It's zero literally!
Real magic is in your eyes beautiful❤
Let the unique digits of the number be *x* , *y* , *z* in order.
So the number is:
*100x + 10y + z*
And the reverse of it is:
*100z + 10y + x*
Subtracting the reverse from original gives:
*99(x-z)*
If *x>z* let *t=x-z* ,
else let *t=z-x*
So the number we have, ignoring the sign, is:
*99(t) = 100(t) - t*
*= 100(t-1+1) - t*
*= 100(t-1) + 100 - t*
*= 100(t-1) + 10(9) +(10 - t)*
Possible values of
*t* : 1 to 9
*(t-1)* : 0 to 8
*(10 - t)* : 1 to 9
so they are single digits.
So the number we have is:
*100(p) + 10(9) + q*
where
*p = (t-1)*
*q = (10-t)*
The reverse of this number is:
*100q + 10(9) + p*
Adding these together, we have:
*101(p + q) + 180*
*= 101(t-1 + 10-t) + 180*
*= 101(9) + 180*
*= 1089*
Man I fukin hate polynomials or whatever is that
good explanation, thanks
@@alrickfernandes6715 It's just tedious the way he did. Although the logic is same.
@@Akim375 i couldn't think of a simpler proof
This is the exact I have done ✅. Mathematics is really love ❤
She's using Google Pixel. Instant like
YAYAYAYA
Yes
💯 agree 👍
Mam 728 not get 1089
@@kennithiria6342change first minus (-) into zero (0). Ex : -99 become 099 then +990
Very good
Try 213 - 312 = -99...ignore the minus, add reverse = 198
🤔
😂
See example that has given already!!
198 + 891 = 1089 . I guess the process eventually ends up to 1089 recursively...
@@All-ld1do-freepalestine I see now, thank you!🤝
Put zero example 099 then calculate
@ZubairZahoor67 I see. It works now
Well done…. This blew my daughter mind away 😅
Every time u learn from ma'am it seems easy because of let's learn ❤️
3 different numbers even don't need. You can assume atleast 2 same numbers either on left side of 3 digit set or at right side of them, for example 221 or 122 or 488 or 884. These sets of numbers also work.
The new definition of beauty.
The phenomenon you're describing with the number 1089 is a well-known mathematical trick. It works with most three-digit numbers, as long as the first and last digits differ by at least two. Here's how it works:
Choose any three-digit number where the digits are not all the same (like 651).
Reverse the digits to form a new number (156 from 651).
Subtract the smaller number from the larger number (651 - 156 = 495).
Reverse the digits of this result (594 from 495).
Add this number to the original difference (495 + 594).
The final result is almost always 1089. This trick works because of the properties of number manipulation and digit rearrangement
Thank you, this flew right above my head. 💯♥️
This isn’t an explanation, you just said the same thing she said
@@MrFuzziiWuzzii no, she said any, he said most as long as there is a difference of 2.
If not it does not work, for example
555-555=0
000+000=000
@@PietroSperonidiFeniziowell I think you didn't watched it properly. She said "any" three "different" numbers not any three numbers.
You can apply the same trick on four digits and also result in 9999💯💯 try this
Love the way she says "LetsLearn"❤
Gets me everytime
Cool sweater
I'm just completely focused that she has a Google Pixel 8 Pro.
Exactly, I just got one
I love your voice, it's giving me chills
When I first heard this, I was told no repeat numbers. But it doesn't work if you say: 132 or 796 , 495, 738, etc. If the 1st and 3rd numbers are sequential, the inverce makes 99.
Read the pinned comment
382 also
@twinkles5114 I got to it after I posted this. By then, It was too late.
@@ramagupta6055 that falls under the category of " ect. "
It still actually works..
132-123=-99
Then I tried to work in 3 digits, so calculation was done as:
099+990=1089
Thank You, i checked same with 2 different numbers and its coming to 99😊. Great!
Wow amazing ...magic number I'll try several times and it work..😮😂I will become a real magician ..thanks for your tips.
Bro my mother chose 333 and I got roasted so bad 💀
Now a friend chose 231 💀💀💀
She told to choose 3 different numbers
🤣🤣🤣
@@hemu1668yeah i didn't listen carefully
Doesn't work with 756 either
@@mihirambekar9997its 099 so you need add 990😊
1089 is also knowns as Ramanujan's no. He was a great mathematician and he gave it❤😊
Before he gave it away, we used to count 1086, 1087, 1088 and 1090 directly. Later on 1089 was added between 1088 & 1090.
I think 1729 is the Ramanujan number
@@tribalgroupinc😂😂😂😂😂❤
it's 1729
@@allfromthenature I searched just after reediing above @masalamagicwithmona8117 , He went in flow without searching it.
You can't just ignore the minus of a negative number. you have to flip it (hit +/- button). if you add to a negative number it's not going to work. OR you can make the trick look more impressive and (seemingly unpredictable) by asking them if the number is positive or negative. If it is positive, add, if negative, subtract.
She makes me happy every time she pops up on my feed.
Thanks for this...now I gonna shine in the evening gatherings😎
Your trick breaks if you put the smallest number in the middle. The result ends up 99 or -99., which then adds up to 198, not 1089.
Happened to me when I tried 485
485-584 = - 99 🤦🏻♂️🤦🏻♂️
Just got 99 lol
Three different number ….
Yeah it's true
I took number 918 it will end up in 99 so yeah this is not true for all numbers
Good to learn
Simple a-b=b+a or a=b+a+b it's just assumption may be wrong😅
[A-b+a]-[b+a-b]=0 replace( with [
I'll scroll this one up 🌚🌚🌚💀 thanks
If they get a negative number after the first step, ignoring it is a bad idea, because if they don't clear it out and re-type it correctly as a positive number, this will not work.
Look it in this way...
Take any 3 digit number and calculate it's difference from it's opposite number.
Use word difference. Difference of any two numbers is considered positive.
Its correct ! I noticed too !
@@pankhurisingla5879 a negative number minus a positive number is a negative number. Math is math.
No need to clear it out. Simply multiply by "-1", OR subtract its reverse instead of adding it, OR click on the change sign (+/-) function (if one is available).
"Ignoring negative", she basically ask you to subtract the smaller number from the larger one. It's the same.
Don't talk or ask an Engineer or Mathematician...they'll prove you wrong before playing
Then they got shocked 😂
@@BS89.
no
try 796
Don't use numbers that end in 00 or start and end with the same number.
In India there is area measure unit 'guntha' its approximately equals to 'are' and its equal to 1089 'foot'😊
❤ very good 👍
Kon kon video dekhne ke baad apne phone ke calculator me check karne gaya 😂😂😂😂😂😂
Bhosdiwale yha to English me likh lo. 😂😂
Me lol 😂😂
Me😂😂😂
Me😂😂😂😂😂😂
Yes u r right... I checked it😂😂😂😂😂
To everyone!
Every 3 different digits works if it's done in the right way! 🙃
Edit To replies:- I can't calculate every number so here are the two common mistakes-
1) Listen carefully in the video if you get an answer in negative ➖ remove that and make it positive!
2) If you get an answer as a two digit number (most commonly 99) add 0 before the number so 99 becomes 099 then add 099+990 = 1089 🤓
Do 184
Do 958
847
354?
675
Thank you Terrence Howard
If we take 897 and subtract it by reversing the number which is 797 so it will be
897 -798 =99
So after that we will add it by reversing the number but here the two digits of the number is the same so it will be
99 + 99 =189
It happen with many number still some number have a different result .
There are many number that have a different result like 291 , 136 , 102, 594 .
We can ask them if the sum is negative you have to subtract it by the opposite of your answer this will give you -1089
This was given by great Indian Mathematician Srinivas Ramanujan ❤
amazing
Hahahahahahahahhahhaha
Try 666 the devil number lol
@@Itzandrew_GoDz3 different numbers
@@praveeng3351 then try 756
Yea I file one of those every year to the IRS. It predicts how much I owe them.
8D Very clever!
This magic actually works ❤❤
You can technically do it with larger than 3 digit numbers, but you need to start adding in a decimal place to make it equal 1089. Otherwise you start getting things like 108090.
@@USE_YOUR_BRAIN So, I realize it's not how you would probably normally treat a decimal. But yeah, if you use ###.# instead of ####, it will work. Last I tried at least.
I am doing this in my childhood 😂 and I fool my friends many time to see this 😁😂
Me who has an I pad😶
too good ❤❤
I wanted to know how you made that cute box out of the prediction sheet. Can you share, please? 🥺 all your videos are so precious! Loveeee ❤❤
I have written a program to check all the 3 digits numbers. Only 640 have 1089 answers. The rest is incorrect because it will encounter a palindrome during the process.
Palindromes will return the other correct answer in the general solution: 0.
@@eRuTAmMi_gNieB There's 1 (x=0 to 9) 1, 2 (x=0 to 9) 2, ... , 9 (x=0 to 9) 9 for a total of 10x9=90 palindromes. Yep, checks out!
She said 3 different numbers please listen the video
Try 584
@@amitmajhail3689 584-485=099 (you put the 0 in the hundreds column). 990+099=1089.
495 is a cuprekar number😊
Legends who got 2 same numbers like 99 and couldn't reverse it
I couldn't help but notice "substract". Thought I had learnt wrong😅
it hurts my ears whenever I hear "subStract". I'm glad someone pointed that out!
😂😂😂
Substract is right as well
@@jaysreenivas2266 No, it's not. It's obsolete.
She said 3 different numbers!!! It worked I can’t believe it 🤣
Stfu ,dude .I'm still laughing 🤣🤣🤣..,u r funny 👍🏻
Did ya try 251?
Try 102
@@absolustely.honest82
251-152= 99 then multiple with 11 🤣😂
Try 829
You last digit should be lower than first digit for this to work. Best case , ask for number in decreasing order. It only works if number is in decreasing order. Like 652, 873 , 892, 583 etc
She said to ignore the negative so it doesn't matter which of the two digits is larger. It only doesn't work when the first and last digits are the same
Its not working with 120 either
120-021=141
141+141=😂
@@jayeshsuthar6547 120-021=099
099+990=1089
I guess it technically still doesn't really work because 99 reversed is 99 and not 990.
@@jayeshsuthar6547 Might want to check your substraction there.
ignore the negative*
Mam give us more this number tricks kids show interest in maths.. ❤❤❤
This doesn't work if the number is followed by the same digits at the start and end, eg 565, if you subtract the reverse the result is 0.
should be 3 different number
@@MahamudHasan72 but the numbers 152 doesn't work and they're diffrent
She said any 3 different no dude
152 minus 251 = -99
Ignore the negative = 99
Make it 3 digits = 099
Add the reverse 099+990=1089
Salute to the great Indian mathematician
Sir ramanujan for this theory
What? he proposed it?
@@mayankbaber9384yes he's
@@mayankbaber9384hes the person who knows the value of infinite ♾️ 😅
No I think the magic no ramanujan has given is not 1089 it's 1729
@@mayankbaber9384Never Proposed it,
Most People really don't appreciate his far more superior work in Advanced Number Theory as much as Trivial Results in ordinary Arithmetic which they claim he discovered it(It's the case of Cultural Superiority).
I tried 584 and the reverse is 485 which on subtracting gives 99,and on adding 99 it gives 198😢
Bro as the pinned comment states, try changing 99 to 990 and then add its reverse. It'll be 1089
no...the pinned comment says to change it to .099 and thats not possible to do on a calculator...go put .099 and see what itll do @@Aggrwalanu
Then add 891 and u get 1089
@@Aggrwalanuso if its a 2 digit number you just add 0 at the end?
Yes. Add a zero to the end. It works out.
Nice one, except for 685 and palindromic numbers
Wow her children gonna be magicians and mathematicians!!
Below is a very very long and rather convoluted mathematical explanation of this problem.
Let the first digit of the first number be a, second digit be b and third digit be c.
Then, first number = 100a + 10b + c
Reverse of this number= 100c + 10b + a
First number - its reverse
= 100a + 10b + c - (100c + 10b + a)
= 99a - 99c
= 99 (a - c)
The next set of calculations is to find the 3-digit formula of the above number.
= 99 (a - c - 1) + 99
= 100 (a - c - 1) - a + c + 1 + 90 + 9
= 100 ((a - c) - 1) + 90 + (10 - (a - c))
Thus, we have the first digit of the difference as (a - c) - 1, second digit as 9, and third digit as 10 - (a - c).
The reverse of the above number is =
100 (10 - (a - c)) + 90 + ((a - c) - 1)
Sum of the above 2 numbers
= 100 ((a - c) - 1) + 90 + (10 - (a - c))
+ 100 (10 - (a - c)) + 90 + ((a - c) - 1)
= 100(a - c) - 100 + 90 + 10 - (a - c) + 1000 - 100(a - c) + 90 + (a - c) - 1
= 1000 + 90 - 1
= 1089
One peculiar scenario where this rule might fail is when the difference of the first number and its reverse is 99.
E.g. 201 - 102 = 99
In this case, 99 + 99 = 198 which is not equal to 1089.
However if we consider 99 as a 3-digit number, that is 099, then we have 099 + 990 = 1089.
Yes, you have to assign zero value to the hundreds column before reversing it.
that's a task. thanks!! ❤
Needed this thanks
😊 👍
U r a math genius 👍👍👍
Every problem results in adding 900 + 180 + 9.
[Abc]-[cba] = 100a+10b+c - 100c-10b-a= 99a-99c = 99(a-c) = 11.9.(a-c)
Kí hiệu [ abc] là số có 3 chữ số k phải tích của 3 số a, b, c
a-c 0
Khi đó đặt: a-c = m (0
I wrote a python script to check it for numbers from 100 to 999. It doesn't work in 136 cases or around 20% of the time.
cause you arre not respecting the request of the magician: "numbers have to be different". So you can't choose numbers like 111 or 181 or 226, cause they are not all different numbers
@@mlivraghi no, I took it into account. For example 102, 120, 130, 132,140, 213 and so on.
@@usernameusernamwell it works for the numbers you mentioned. It is just that you ignore the negative sign if the difference is negative and if the difference comes out as a 2 digit number you should consider it as 3 digits with 100's place being "0" and proceed.
For example for 102
102-201=-99
Ignore the -ve sign and consider it as 099
099+990=1089
@@k-pd8wc I do not add 0 because this case wasn't mentioned as something special in the video.
@@usernameusernamthen there is something wrong with your python script! For example: 102 - 201 = -99. 099 + 990 = 1089
Guys, try using three different numbers including number 0.
It works🔥
Good one❤
When I was young I read a puzzle book that explained how to solve a persons age by the size of their footprint.