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    Subject

    Quantitative Aptitude

    Topic

    Algebra

    Multiplication and difference of two numbers are 93 and 28 respectively. Find the difference of reciprocals of the numbers.

    ক)
    \(\frac{{93}}{{28}}\)
    খ)
    \(\frac{{28}}{{93}}\)
    গ)
    \(\frac{{13}}{{17}}\)
    ঘ)
    \(\frac{{17}}{{29}}\)
    ঙ)
    \(\frac{{41}}{{34}}\)

    Explanation

    Let the numbers are x and y ∴x × y = 93       ____________(1) x – y = 28 ____________(2) Now reciprocals of the numbers  =1xand1y= \frac{1}{x}and\frac{1}{y} Then, Required difference =1y−1x=x−yxy= \frac{1}{y} - \frac{1}{x} = \frac{{x - y}}{{xy}} =2893= \frac{{28}}{{93}} Hence the required difference of the reciprocals of the numbers =2893= \frac{{28}}{{93}}

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