If x is a digit of the number \(\overline{66784\times}\) such that it

1.	If x is a digit of the number \(\overline{66784\times}\) such that it is divisible by 9, find possible values of x.
Answer» Here it is given that \(\overline{66784\times}\) 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

If x is a digit of the number \(\overline{66784\times}\) such that it is divisible by 9, find possible values of x.

Answer»

Here it is given that \(\overline{66784\times}\) 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