Math Problem Help

Question

The sum of the digits of a two-digit nunber is 7.

When you reverse the digits of the original number the new number is 27 more than the orginal number.

What is the value of the original number?

Answer 1

T+W = 7, T=7-W

10W + T = 27 + 10T + W

9W -9T = 27

W-T = 3

W -7+W = 3

2W =10

W = 5

T = 2

the original number is 25

52=27+22

2+5=7