Question

Find all possible values of x for which the number 7x3 is divisible by 3.Also find each such number?​

Answer 1

Step-by-step explanation:

A number is divisible by 3 if the sum of its digits is divisible by 3.

Here(7+x+3) must be divisible by 3.

So, the possible values of x are 2,5&8.

If x =2,then 7+2+3 =12 , which is divisible by 3.

if x=5, then 7+5+3 =15, which is divisible by 3.

if x=8, then 7+8+3=18, which is divisible by 3.

The required numbers are 723,753&783.