What is the value of A and B if the number 24A6B is divisible by 4 as well as 11.
A number is divisible by 11 if the sum of the digits at even places and the sum of the digits at odd places is either equal or the difference between the two is a multiple of 11. A number if divisible by 4 if the number formed by the last two digits of the number is divisible by 4.
For the given number 24A6B, the number formed by the last two digits, 6B, is divisible by 4 if B is 0, 4, and 8.
The sum of the even digits is 2 + A + B and the sum of the odd digits is 4 + 6 = 10.
If B = 0, 2 + A + 0 = 10 => A = 8
If B = 4, 2 + A + 4 = 10 => A = 4
If B = 8, 2 + A + 8 = 10 => A = 0
The given number is divisible by 4 as well as 11, if the values of A and B are such that the number formed is 24860, 24464 and 24068
The value of A and B is (8,0),(4,4),(0,8)