Question

Write the smallest digit and the largest digit in the blanks space of each of the following numbers so that the number formed is divisibly by 3:

(a) __________ 6724 

(b) 4765 __________ 2

Answer 1

(a) We know that a number is divisible by 3 if the sum of all digits is divisible by 3.

Therefore, Smallest digit : 2 --> 26724 = 2 + 6 + 7 + 2 + 4 = 21

Largest digit : 8 --> 86724 = 8 + 6 + 7 + 2 + 4 = 27

(b) We know that a number is divisible by 3 if the sum of all digits is divisible by 3.

Therefore, Smallest digit : 0 --> 476502 = 4 + 7 + 6 + 5 + 0 + 2 = 24

Largest digit : 9 --> 476592 = 4 + 7 + 6 + 5 + 0 + 2 = 33