Given that the number ` 60 a b 57377 ` is divisible by 99, where `a\ a n d\ b` are digits, what are the values of `a` and `b` ?

Explanation

To find the values of \( a \) and \( b \) in the number \( 60ab57377 \) such that it is divisible by 99, we need to check the divisibility by both 9 and 11, since \( 99 = 9 \times 11 \).

### Step 1: Check divisibility by 9
For a number to be divisible by 9, the sum of its digits must be divisible by 9.

The digits of the number are \( 6, 0, a, b, 5, 7, 3, 7, 7 \).

Calculating the sum of these digits:
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