SOLUTION: one number is four more than another number, the difference between there squares are 80,what are the two numbers?

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Question 424560: one number is four more than another number, the difference between there squares are 80,what are the two numbers?
Answer by Mr.Math(29) About Me  (Show Source):
You can put this solution on YOUR website!
Let one number is x. Then another number is x-4.
Then:
x%5E2+-+%28x-4%29%5E2+=+80
x%5E2+-+%28x%5E2+-+8x+%2B+16%29+=+80
Simplify this equation:
x%5E2+-+x%5E2+%2B+8x+-+16+=+80
8x+-+16+=+80
8x+=+96
x+=+96%2F8+=+12
Then x-4+=+12-4+=+8.
Answer: one number is 12 and another number is 8.