Question

The sum of the digits of a two-digit number is 10. When the digits are reversed, the new number is 36 more than the original number. Find the original.

Answer 1

Original Number is 37

Explanation:

Let

x = First digit

y = Second digit

x + y = 10

∴y = 10 - x

Original Number = 37

3 + 7 = 10

When reversed:

New Number is 36 more than the original Number:

37 + 36 = 73

∴New Number = 73