Take a two-digit number ab. Then reverse the digits. If the difference between ab and the new number is cd, then cd is always divisible by
We are taking a 2 digit number ab. The difference between the original number and the number formed after reversing the digits is cd.
∴ cd = (10a + b) - (10b + a) = 9(a - b)
As cd is a multiple of 9, it is always divisible by 9.