5B12 is divisible by 11, find the value of B , if the number is divisible by 11
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A number is divisible by 11 if the difference between the sum of its digits in even places and the sum of its digits in odd places is either 0 or 11
Given number is 5B12, we have sum of the digits in the even place is B + 2
Sum of the digit in the odd place is 5 + 1 = 6
Difference between the sum of the digit in the odd places and the sum of the digit in the even places
⇒ B+2 - 6
⇒ B - 4 = 0, 11, 22, 33, 44.............
⇒ B = 4, 15,26................
∴ B = 4 as B is a digit.