Question

The sum of digits of s two digit number is 8. If 36 is added to this number, the digits are

reversed. Find the number? (26)​

Answer 1

The number is 26.

Explanation:

Let the number be xy.

x + y = 8

10x + y + 36 = 10y + x

9x - 9y = -36

Multiply the first equation by 9:

9x + 9y = 72

Adding this equation to the previous one:

18x = 36

x = 2

and y = 8 - 2 = 6.