Question

Write the smallest digit and the greatest digit in the blank space of the following number so that the number formed is divisible by 3:

4765 ______ 2

Answer 1

Based on the rules of checking divisibility, if the sum of the digits of a number is a multiple of 3, then that number is divisible by 3.

Therefore, by adding smallest digit 0, 476502 = 4 + 7 + 6 + 5 + 0 + 2 = 24

By adding the biggest digit 9, 476592 = 4 + 7 + 6 + 5 + 9 + 2 = 33

Both numbers will be divisible by 3.