If x is a digit of the number such that it is divisible by 9, find possible values of x.

Question

Philoid · Accepted Answer

Here it is given that is divisible by 9.

We know that if a number is divisible by 9, then sum of digits must be a multiple of 9.

∴ 6 + 6+7+8+4 + x = multiple of 9

∴ x + 31 = 0,9,18,27,…..

But ‘x’ is a digit, hence, ‘x’ can have value between 0 to 9.

∴ x + 31 = 36.

∴ x = 5