The value of the digit A is 2.
A number is divisible by 9 if the sum of its digits is divisible by 9. In this case, the sum of the digits in the number 83A5 is 8 + 3 + A + 5 = 16 + A.
To make the number 83A5 divisible by 9, we need to choose a digit A such that 16 + A is divisible by 9. The only digit that satisfies this condition is A = 2 because 16 + 2 = 18 is divisible by 9.
Therefore, the digit A that makes the number 83A5 divisible by 9 is 2.