SOLUTION: Find two numbers whose difference is 8 and the difference of their squares is 88.

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Question 670557: Find two numbers whose difference is 8 and the difference of their squares is 88.
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let the numbers be x and y
x+-+y+=+8
x%5E2+-+y%5E2+=+88
%28x-y%29%28x%2By%29+=+88
8+%2A%28x%2By%29+=+88
x+%2B+y+=+11
x-y+=+8%29%29%29%0D%0A%7B%7B%7Bx%2By+=+11
-------------
2x+=+19
x+=+9.5
which makes y = 1.5
Test your answer. Does 9.5%5E2+-+1.5%5E2+=+88