Question:
Find the value of x for which the number x806 is divisible by 9. Also, find the number.
Solution:
For a number to be divisible by 9 , the sum of the digits must be divisible by 9 .
Sum of the digits in the given number $=x+8+0+6=x+14$
The sum of the digits is divisible by 9 , only in the following case:
$x=4$
or
$x+14=18$
Thus, the number x806 is divisible by 9 if
The number is 4806.