Given that the number ` 1735538 a 05 ` is divisible by 9, where ` a ` is a digit what are the possible values of ?

Explanation

Any number is divisible by `9` if and only if the sum of the digits is divisible by `9`.
Then the sum of the digits`(1,7,3,5,5,3,8, a,0,5)`is `37.`
So, possible values of `a` is `8`, making the sum `45`, which is divisible by `9`.