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One number is 3 times another. If the sum of their reciprocals is 4, find the two numbers. __

this is supposed to be 4 over 15

Let the smaller number be x. The two numbers are then x and 3x. You have only one unknown now.

1/x + 1/(3x) = 4
4/(3x) = 4
1/(3x) = 1
3x = 1
x = 1/3
3x = 1

4/15 is not an answer. I don't see where you get that.

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