The sum of the digits of a two-digit counting number is 11. If the digits are reversed, the new number is 27 greater than the original number. What is the original number?

Answer 1

T+U = 11

10U +T = 27+ 10T +U

9U -9T = 27

U -T = 3

U+T = 11

2U = 14

U = 14/2 = 7

T = 11-7 = 4

original number is 47

reversed digit number is 74

74 = 47+27