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Two numbers total 32 and habe a diffrence of 8. find the two numbers

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Let the numbers be x and y

x + y = 32
-
x - y = 8
__________
0x + 2y = 24
__________

The first equation minus the second.

2y = 24

y = 24/2

y = 12.

Recall: x + y = 32, y = 12

x + 12 = 32

x = 32 - 12

x = 20.

The two numbers are 20 and 12.
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