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One Number Is 3 Times Another Number. If The Sum Of The Reciprocals Of The Numbers Is 1/6, What Are The Two Numbers?

  • college -

    Math is NOT my field, but in general:
    The reciprocal of a fraction is obtained by interchanging the numerator and the denominator, i.e. by inverting the fraction.

    The reciprocal of 1/6 is 6/1. Looking at the 6, 2 X 3 = 6. But when it comes to fractions, I'm lost!


  • college math -

    Please put your subject in the "School Subject" space.

    x = 3y

    1/x + 1/y = 1/6

    Substitute 3y for x in the second equation and solve for y. Put that value in the first equation to find x. Check by putting both values into the second equation.

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