The ratio of the tens digit to the units digit of a two digit number is 2:3. The number that results when the digits of the original number are reversed is 27 more than the original number. Find the original number.

Answer 1

If the tens digit is 2x, the units is 3x. Then we have

10(3x)+2x = 10(2x)+3x + 27
x=3

The n umber is 69
96 = 69+27