Question

When the number formed by reversing the digits of a two digit number is added to the original number, the sum is 99. If the same number is subtracted from the original number, the difference is 27. Find the original number.​

Answer 1

Explanation:

x = 10¹ digit

y = 10⁰ digit

the original number is xy.

the reverse number is yx.

xy + yx = 99.

xy - yx = 27

10x + y + 10y + x = 99

11x + 11y = 99

x + y = 9

x = 9 - y

10x + y - 10y - x = 27

9x - 9y = 27

x - y = 3

9 - y - y = 3

6 = 2y

y = 3

x = 9 - y = 9 - 3 = 6

the original number is 63