SOLUTION: A positive integer is twice another. The difference of the reciprocals of the two positive integers is 1/6. Find the two integers.

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Question 1103020: A positive integer is twice another. The difference of the reciprocals of the two positive integers is 1/6. Find the two integers.
Answer by ikleyn(52898) About Me  (Show Source):
You can put this solution on YOUR website!
.
1%2Fn - 1%2F%282n%29 = 1%2F6  ============>


2%2F%282n%29 - 1%2F%282n%29 = 1%2F6


1%2F%282n%29 = 1%2F6   ====>


2n = 6  ====>  n = 3.


Check.  1%2F3+-+1%2F6 = 1%2F6.   ! Correct !