SOLUTION: One number is 5 more than another. The difference between their squares is 105. What are the numbers?

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Question 1057622: One number is 5 more than another. The difference between their squares is 105. What are the numbers?
Answer by Alan3354(69443) About Me  (Show Source):
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One number is 5 more than another. The difference between their squares is 105. What are the numbers?
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x = y + 5
x^2 - y^2 = 105
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x^2 - (x^2 + 10x + 25) = 105
-10x - 25 = 105
x = ±13
y = ±8