SOLUTION: One number is 3 times another. If the sum of their reciprocals is 2/9, find the two numbers.

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Question 768204: One number is 3 times another. If the sum of their reciprocals is 2/9, find the two numbers.
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
y = 3x
1/x + 1/y = 2/9
or
1/x + 1/(3x) = 2/9
3/(3x)+1/(3x) = 2/9
4/(3x) = 2/9
taking reciprocals:
(3x)/4 = 9/2
(4/3)((3x)/4) = (4/3)(9/2)
x=6

:)