the tens digit of a two digit number is 5 more than the units digit. when reversed and added to the original number the answer is 99. find the original number

Answer 1

unit digit of original number ---- x
tens digit of original number ---- x+5

original number = 10(x+5) + x = 11x + 50
number reversed = 10x + (x+5) = 11x + 5

11x+50 + 11x + 5 = 99
22x = 44
x = 2

the original number was 72

check:
72 + 27 = 99 , my answer is correct