SOLUTION: The sum of two numbers is 20. Their difference is 4. Find the two numbers.

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Question 138378: The sum of two numbers is 20. Their difference is 4. Find the two numbers.
Found 2 solutions by checkley77, solver91311:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=20
X-Y=4
X=Y+4
(Y+4)+Y=20
2Y=20-4
Y=16/2
Y=8 ANSWER.
X-8=4
X=4+8
X=12 ANSWER.
PROOFS:
8+12=20
20=20
8-4=4
4=4

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
English to math symbols translations in parentheses:

The sum (+) of two numbers (x, y) is (=) 20, or x%2By=20

Their (x, y) difference (-) is (=) 4, or x-y=4

Add the two equations: %28x%2By%29%2B%28x-y%29=20%2B4


Remove the parentheses and collect like terms: 2x%2B0y=24, or 2x=24

Divide by 2: x=12

Since x=12, 12-y=4, so y=8