SOLUTION: The sum of the reciprocals of two consecutive odd numbers is 8/15. Find the numbers.

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Question 667785: The sum of the reciprocals of two consecutive odd numbers is 8/15. Find the numbers.
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
If is any number, then and are consecutive odd numbers.
The sum of the reciprocals of two consecutive odd numbers is:






........cross multiply







.....replace with

....group







solutions: positive solution

if ......=>.....
the numbers are:
and

check:










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