SOLUTION: A positive integer is twice another. The sum of the reciprocals of the two positive integers is 3/10. Find the two integers.

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Question 1121227: A positive integer is twice another. The sum of the reciprocals of the two positive integers is 3/10. Find the two integers.
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.
1%2Fx + 1%2F%282x%29 = 3%2F10


Multiply both sides by 10x.


10 + 5 = 3x


15 = 3x


x = 5.


The numbers are 5 and 10.


Check.  1%2F5 + 1%2F10 = 3%2F10.   ! Correct !

Solved.