The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. Find the number.

Answer 1

Let x = tens digit and y = ones digit

Then, the number can be expressed as 10x + y (Example: 35 = 10(3) + 5)

x + y = 5

(10x+y) - 9 = 10y+x

x + y = 5

9x - 9y = 9

x + y = 5

x - y = 1

Add the equations to get 2x = 6

So, x = 3 and y = 2

The number is 32.