The sum of two numbers is 82 and their difference is 29. Find each numbers.

System of Equations:

let these two numbers be x and y

x+y = 82

x-y = 29

If you add the two equations you can eliminate y.

2x = 111

x = 55.5

Plug x back into one of the two equations. So the two numbers are 55.5 and 26.5.