SOLUTION: One number is three times another. The sum of their reciprocals is 2/3. What are the numbers?

Question 1185374: One number is three times another. The sum of their reciprocals is 2/3. What are the numbers?

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
x and 3x, the numbers

The numbers are 2 and 6.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

One number is three times another. The sum of their reciprocals is 2/3. What are the numbers?

Let smaller number be S
Then larger is 3S
We then get:
3 + 1 = 2S ------- Multiplying by LCD, 3S
4 = 2S
Smaller number, or
It's now quite easy to find the larger number.
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