Question

If '48x2y' is a five-digit number which is divisible by 72, then find the value of (x -
y).

Q: Answer-If '48x2y' is a five-digit number which is divisible by 72, then find the value of (x - y).

ATQ,Since, 72 9 8So, the given number must be divisible by both 9 and 8.Divisibility by 8Last three digits of the number x2y must be divisible by 8.For x 5 and y 4, the number 524 is divisible by 8.Divisibility by 9Sum of the digits 4 8 5 2 4 23 must be divisible by 9, which it is not.Adjusting the values, for x 3 and y 6, the number 326 is divisible by both.Hence, x 3, y 6And, x - y 3 - 6 -3