Given that the number ` 35 a 64 ` is divisible by 3, where a is a digit, what are the possible values of ?

Explanation

To find the possible values of the digit \( a \) in the number \( 35a64 \) such that it is divisible by 3, we can follow these steps:

### Step 1: Understand the divisibility rule for 3
A number is divisible by 3 if the sum of its digits is divisible by 3.

### Step 2: Write down the digits of the number
The digits of the number \( 35a64 \) are \( 3, 5, a, 6, 4 \).

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