SOLUTION: The sum of two numbers is 50 and the difference is 22 . What are the numbers?

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: The sum of two numbers is 50 and the difference is 22 . What are the numbers?      Log On


   

Question 301723: The sum of two numbers is 50 and the difference is 22 . What are the numbers?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A and B be the numbers.
A%2BB=50
A-B=32
Add the two equations together to get rid of B.
A%2BB%2BA-B=50%2B32
2A=82
highlight_green%28+A=41%29
Now use either equation to solve for B.
A%2BB=50
41%2BB=50
highlight_green%28B=9%29