SOLUTION: The sum of two numbers is 48 and their difference is 80. Find each ofthe number.

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Question 368038: The sum of two numbers is 48 and their difference is 80. Find each ofthe number.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is 48 and their difference is 80. Find each ofthe number.
Let x = one number
and y = the other number
.
Our "system" of equations:
x+y = 48
x-y = 80
.
So, applying the "addition method" we add the two equations together:
x+y = 48
x-y = 80
---------
2x = 128
x = 64 (one number)
.
find other number by substituting above into first equation:
x+y = 48
64+y = 48
y = 48-64
y = -16 (other number)