If the digits of the numbers are reversed, the number is increased by 36. The sum of the digits in the number is two and one-half times their difference. What is the number?

Answer 1

UT = TU+36

U+T = 2.5(U-T)

1.5U -1.5T = 0

10U + T = 10T + U + 36

9U -9T = 36

U-T = 4

U+T = 2.5(4) = 10

2U = 14

U = 7

T = 3

the number is 37

73 = 37 + 36

7-3 = 4

7+3 = 2.5(4)