**Question:**

Find the value of *x* for which the number *x*806 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.