The sum of the digits of a two-digit number is 11. If 45 is added to the number, the result is the number with the digits reversed. Find the number.

Question

It is part of the system of equations and I need help in using elimination and the right equations to solve it.

Answer 1

sum = 11, so digits could be 9 and 2, 8 and 3, 7 and 4, 6 and 5

45 + xy = yx

45 + 29 = 74 nope

45 + 38 = 83 YES!