Question

The sum of a two-digit number and the number obtained by reversing the order of the digits
is 165. If the digits differ by 3, find the number. Use elimination method to solve equations.

Answer 1

Let the number be 10x+y; then,

(10x+y)+(10y+x)= 165 .....(1)

x - y = 3

or, x = 3+y ......(2)

Substituting the value of 2 in 1; we get

11x + 11y = 165

or, x + y = 15

or, 3+y+y = 15

or, 3 + 2y = 15

or, 2y = 12

or, y = 6

Then, x = 9 and y = 6.

HOPE THIS COULD HELP!!!