SOLUTION: The sum of two numbers is 55 and the difference is 15 . What are the numbers?

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Question 462558: The sum of two numbers is 55 and the difference is 15 . What are the numbers?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let's numbers be x and y
given:
The sum of two numbers is 55:
x%2By=55...........1
and the difference is 15:

x-y=15...........2
solve this system:
x%2By=55...........1
x-y=15...........2
------------------------------add them
x%2Bx%2By-y=55%2B%28-15%29
2x%2Bcross%28y%29-cross%28y%29=40
2x=40
x=40%2F2
x=20
now find y

x%2By=55...........1
y=55-x
y=55-20
y=35
so, your numbers are 20 and 35