SOLUTION: The sum of the reciprocals of two consecutive positive number is 17/72. Find the number.

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Question 960672: The sum of the reciprocals of two consecutive positive number is 17/72. Find the number.
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
Numbers n and n+1, n>0.

1%2Fn%2B1%2F%28n%2B1%29=17%2F72

First couple of steps can be

%281%2Fn%2B1%2F%28n%2B1%29%29%2872n%28n%2B1%29%29=17%2A72n%28n%2B1%29%2F72

72%28n%2B1%29%2B72n=17n%28n%2B1%29

----remains unfinished here but you should be able.