Question

If the three digit number 24x is divisble by 9 , the value of x is :

Answer 1

For a number to be divisible by 9, the sum of its digits must be divisible by 9.

Here, the number is 24x, so the sum of its digits is:

2 + 4 + x = 6 + x

Now, since 24x is divisible by 9, 6 + x must also be divisible by 9.

The only single-digit value of x that makes this true is x = 3.

Therefore, the value of x is 3.