. If you reverse the digits of a two-digit number, it increases the number by 9. What are the numbers if the sum of the digits is 7?

Answer 1

T+U = 7

UT = TU + 9

10U + T = 10T +U +9

9U -9T = 9

U-T =1

U = 1+T

T + 1+T = 7

2T = 6

T =3

U =4

original number = 34

3+4 = 7

43 = 34+9