SOLUTION: A positive integer is twice another. The difference of the reciprocals of the two positive integers is 1/8. Find the two integers

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Question 1121239: A positive integer is twice another. The difference of the reciprocals of the two positive integers is 1/8. Find the two integers
Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
.
1%2Fx - 1%2F%282x%29 = 1%2F8.


Multiply both sides by 8x. You will get


8 - 4 = x

x = 4.


Check.  1%2F4 - 1%2F8 = 1%2F8.   ! Correct !

Solved.