Question

In each of the following numbers replace M by the smallest whole number to make the resulting number divisible by $9$.
(iii) $627M9$

Answer 1

Step: Find the value of M
Given number: $627M9$
A number is divisible by $9$ if the sum of its digit is divisible by $9$.
Here, the sum of digits = $6$+$2$+$7$+$M$+$9$
= $24$+$M$
The number next to $24$ which is divisible by $9$ is $27$.
So, the required number = $27$−$24$
Hence, the value of $M$ = $3$.