Question

The sum of 2 digit number and the number obtained by reversing the order of its digit 165 . if the digit differ by 3 find the number.

Answer 1

let the digits of the number be x, y and
the number be 10x + y ( x in 10th place and y in unit place) and
the reversed number be 10y + x ( y in 10th place and x in unit place)

given :   difference of the digits is 3
             x - y = 3 -------> (A)
            sum of the number and the reversed number is 165
            10x + y + 10y + x = 165      -----------------> (B)
               11x + 11y = 165

solving 2 eqns we get x = 9 and y = 6

Ans: 96 is the number and 69 is the reversed number. so that their difference is 3 and their sum is 165