When you reverse the digits in a certain two digit number you decrease its value by 36. Find the number if the sum of tis digits is 14.

Answer 1

A two digit positive integer xy can be expressed as 10x + y.

For instance, 54 = 10(5) + 4

So, 10y + x = (10x + y) - 36 and x + y = 14

We have the following system of equations:

9x - 9y = 36

x + y = 14

Now, solve for and y.