The sum of the digits of a two digit number is 9. If the digits are reversed, the new number is 63 more than the original. Find the number

Question

The sum of the digits of a two digit number is 9. If the digits are reversed, the new number is 63 more than the original. Find the number

Answer 1

Again: xy

x+y=9

yx=xy+63

 

x+y=9

10y+x=10x+y=63

 

x+y=9

9x-9y=-63 (divide by 9)
x+y=9

x-y=-7

Solve this..