Question 76314
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:

{{{1/3}}} + {{{1/5}}} = {{{8/15}}}
:
Commmon denominator:
{{{5/15}}} + {{{3/15}}} = {{{8/15}}}