18. Davis says that adding a two-digitnumbertothetwo-digit number formed by reversing the digits of the original number results in a sum of 65. Avery says that’s impossible. Is it impossible?

Answer 1

If I understand what you are asking, it is impossible.

Original number is 10t + u and the digit reversed number is 10u + t

The sum of the original plus the reversed number is 11(t+u).

Since 65 is NOT divisible by 11, the procedure is not possilbe.