Determine how many two-digit numbers satisfy the following property: when this number is added to the number obtained by inverting its number, the total is 132.

1.

Determine how many two-digit numbers exist with the following properties: when this number is added with a number in which one digit and ten digits are reversed, the sum is 132.

2. examples.

A= 10x+y

B= 10y+x

A+B= 132

( 10x+y)+( 10y+x)= 1 1x+ 1 1y = 132

3. The solution can usually be solved by exhaustive method. Try it step by step with x= 1 etc.

One of my reference answers is X = 3 and Y = 9.