SOLUTION: If X is a digit such that 35*64 is divisible by 3, find the possible values of X.

Algebra.Com
Question 811284: If X is a digit such that 35*64 is divisible by 3, find the possible values of X.
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
Do you mean the number 35X64 with X as the middle digit is divisible by 3?

A number is divisible by 3 if, and only if the sum of its digits is divisible by 3
is already divisible by 3 since .
To make divisible by 3, X itself must be divisible by 3.
So to make 35X64 divisible by 3, X itself must be divisible by 3, or zero.
The possible values for X are
0, 3, 6, and 9.

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