Find the answer as below: Find the least value of m if the number of 24m3765n4 is divisible by 44 As it is clear that if the given number is divisible by 44 it means the number is also divisible by 4 and 11. So for the number to be divisible by 11, the difference between sum of the numbers at odd places minus the sum of the numbers at even places should be 0 or divisible by 11. (2+m+7+5+4) - (4+3+6+n) = 11 (18+m) - (13+n) =11 18+m - 13-n=11 5+m-n=11 m - n =11-5 m - n =6 so m-n should be equal to 6 Now coming to the divisibility of 4, last two digits should be divisible by 4 So possible values of n are 2, 4,6,8,0. Now considering both the conditions, possible m,n pairs are (6,0), (8,2) Among the 2 possibilities of combination (6,0) is the least one of m and n Therefore the least value for m is 6
So for the number to be divisible by 11, the difference between sum of the numbers at odd places minus the sum of the numbers at even places should be 0 or divisible by 11. Now coming to the divisibility of 4, last two digits should be divisible by 4 So possible values of n are 2, 4,6,8,0. Now considering both the conditions, possible m,n pairs are (6,0), (8,2) 6-0 =6 and 8-2=6 Among the 2 possibilities of combination (6,0) is the least one of m and n Therefore the least value for m is 6 Read these two conditions carefully you can understand. if you feel difficulty give me a call. thanking you for the interest.
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Find the least value of m if the number 24m 3765n4 is divisible by 44
Find the answer as below:
Find the least value of m if the number of 24m3765n4 is divisible by 44
As it is clear that if the given number is divisible by 44 it means the number is also divisible by 4 and 11.
So for the number to be divisible by 11, the difference between sum of the numbers at odd places minus the sum of the numbers at even places should be 0 or divisible by 11.
(2+m+7+5+4) - (4+3+6+n) = 11
(18+m) - (13+n) =11
18+m - 13-n=11
5+m-n=11
m - n =11-5
m - n =6
so m-n should be equal to 6
Now coming to the divisibility of 4, last two digits should be divisible by 4 So possible values of n are 2, 4,6,8,0.
Now considering both the conditions, possible m,n pairs are (6,0), (8,2)
Among the 2 possibilities of combination (6,0) is the least one of m and n
Therefore the least value for m is 6
Thank I sir
@@theannamamass5731 how did u take the two possibilities of m,n pairs ( 6,0 ) ( 8,2)
So for the number to be divisible by 11, the difference between sum of the numbers at odd places minus the sum of the numbers at even places should be 0 or divisible by 11.
Now coming to the divisibility of 4, last two digits should be divisible by 4 So possible values of n are 2, 4,6,8,0.
Now considering both the conditions, possible m,n pairs are (6,0), (8,2)
6-0 =6 and 8-2=6
Among the 2 possibilities of combination (6,0) is the least one of m and n
Therefore the least value for m is 6
Read these two conditions carefully you can understand. if you feel difficulty give me a call. thanking you for the interest.