Given that the number is divisible by 9, where y is a digit, what are the possible values of y?
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 + 7+y+1+9 = multiple of 9
∴ y + 23 = 0,9,18,27,…..
But ‘y’ is a digit, hence, ‘y’ can have value between 0 to 9.
∴ y + 23 = 27 which gives y = 4.
∴ y = 4