What three-digit number with units digit 2 and hundreds digit 4 is divisible by 9?

Dear user,

Answer to your query is provided below

A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9.

Step-by-step explanation:

Here, It is given that the number is three digit in which units digit is 2 and hundreds digit is 4.

As per rule, the sum of its digits should've divisible by 9. So, Let the unknown digit be X.

Therefore, 2+X+4 = 9

This implies, X = 9-2-4 = 3

So, the three digit number will be 432.

Verify - 432/9 = 48

Hence proved