Question

the sum of a number of 2 digits and of the number formed by reversing the digits is 110, and the difference of the digits is 6 . Find the number.

Answer 1

let the 2 digits of the number be x and y. It should be represented by

10x+y

Reverse is 10y+x

11x+11y = 110

x+y=10
x-y=6

x-10+x=6
x=8
y=2

The number is 82



-110y+11y=