Question

a. Find the value(s) of 'a' for which 635a is divisible by 3.
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Answer 1

Answer:

6351, 6354, 6357

Step-by-step explanation:

Here, our given number is 635a, which is divisible by 3.

We know that if number is divisible by 3 only when sum of digits of given number is divisible by 3.

Hence, if 635a is divisible by 3, then,

6 + 3 + 5 + a = 0, 3, 6, 9, 12, 15, 18, 21, .....

So, therefore 14 + a = multiple of 3

Hence, a = (multiple of 3) - 14

Hence possible values for multiple of 3 are 15, 18, 21

Hence a = 1, 4, 7

Hence possible number are 6351, 6354, 6357

hope it helps you