SOLUTION: The sum of two numbers is 8 and the difference between their squares is 34. Find their difference.

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Question 577795: The sum of two numbers is 8 and the difference between their squares is 34. Find their difference.
Found 2 solutions by rakhileshnaidu, Alan3354:
Answer by rakhileshnaidu(13) About Me  (Show Source):
Answer by Alan3354(69443) About Me  (Show Source):
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The sum of two numbers is 8 and the difference between their squares is 34. Find their difference.
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a+b = 8
a%5E2+-+b%5E2+=+34
b = 8-a
a%5E2+-+%288-a%29%5E2+=+34
a%5E2+-+64+%2B+16a+-+a%5E2+=+34
16a - 64 = 34
16a = 98
a = 49/8
b = 15/8