SOLUTION: The sum of the reciprocals of two odd integers is 8/15. Find the larger integer.

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Question 76314: The sum of the reciprocals of two odd integers is 8/15. Find the larger integer.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The sum of the reciprocals of two odd integers is 8/15. Find the larger integer.
:
We know that the reciprocals have to be factors of 15, 3 and 5 are the obvious choice:
1%2F3 + 1%2F5 = 8%2F15
:
Commmon denominator:
5%2F15 + 3%2F15 = 8%2F15