The product of a two-digit number and 5 is equal to the product of the same two-digit number with its digits reversed and 6. What is the sum of the digits of the number?
Number is xy
(10x + y) * 5 = (10y+x) 6
50x+5y = 60y+ 6x
44x = 55y
x = 55/44 y
x = 5/4 y
x/y = 5/4 x = 5 y = 4 5+4 = 9