SOLUTION: The sum of two numbers is 80 and the difference of the two numbers is 22. What are the numbers

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Question 829925: The sum of two numbers is 80 and the difference of the two numbers is 22. What are the numbers
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
Let the numbers be X and Y.
The information you're given is:
X + Y = 80
X - Y = 22
Add them together.
2X + (Ys cancel each other out) = 102
Divide each side by 2.
X = 51
If X is 51, and X + Y = 80, then Y = 80-51 or 29
.
Let's put these back into the original equation to prove.
X (51) + Y (29) = 80
51+29 does indeed equal 80.
Now the other.
X (51) - Y (29) = 22
51-29 does indeed equal 22.
.
Success!