SOLUTION: The difference between two numbers is 10. The difference between their squares is 800. What are the numbers?

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Question 417864: The difference between two numbers is 10. The difference between their squares is 800. What are the numbers?
Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
let the numbers be x and y
+x-y+=+10
x%5E2+-+y%5E2+=+800
%28x%2By%29%28x-y%29+=+800
%28x%2By%2910+=+800
%28x%2By%2910%2F10=+800%2F10
+x%2By+=+80
also given, +x-y+=+10

==> +2x+=+90
==> +x+=+45+
==> +y+=+80-45+=+35