Question

A 2-digit number is increased by 36 when the digits are reversed. The sum of the digits is 10. Find the original number.

Answer 1

37

Explanation:

To start out, if you know that the digits add to 10, then the number must me around 46-37, as 28 and 82 wouldn't make sense, and 55 is a palindrome.

37-->73, 73-37=36.

Answer 2

Explanation:

10y + x = 10x + y + 36

x+y = 10

so we have to find y and x

10y - y = 10x - x + 36

9y = 9x + 36