The sum of the digits of a two digit positive integer is 15 , when the digits are reversed the number is 27 more than the original number . what was the original number?
+37159 x+y = 15 y = 15 -x
10y + x = 27 + 10x + y sub in red equation for y
10(15-x) + x = 27 + 10x + 15-x
150-10x+x = 27 +10x+15-x
108 = 18x x = 6 then y =9
