SOLUTION: two positive numbers differ by 5 and the square of their sum is 169. find the numbers.

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Question 233184: two positive numbers differ by 5 and the square of their sum is 169. find the numbers.
Answer by Alan3354(69443) About Me  (Show Source):
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two positive numbers differ by 5 and the square of their sum is 169. find the numbers.
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sum^2 = 169
sum = 13
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n + (n+5) = 15
2n+5 = 13
2n = 8
n = 4
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4 and 9