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Math Help - A complex problem on number

  1. #1
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    Post A complex problem on number

    Dear All ,

    Q> When the numerator of a fraction increases by 4 ,the fraction increases by
    2/3.The denominator of the fraction is ???

    Ans > 6

    but my doubt is in the solution:

    let Fraction be - x/y.
    then (x+4)/y - x/y = 2/3

    ie y = 6

    but why -x/y

    pls explain me the solution pls
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  2. #2
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    LHS: Numerator of the fraction increases by \displaystyle 4, so \displaystyle \frac{x + 4}{y}.

    RHS: Fraction increases by \displaystyle \frac{2}{3}, so \displaystyle \frac{x}{y} + \frac{2}{3}.


    Therefore

    \displaystyle \frac{x + 4}{y} = \frac{x}{y} + \frac{2}{3}

    \displaystyle \frac{x + 4}{y} - \frac{x}{y} = \frac{2}{3}

    \displaystyle \frac{x + 4 - x}{y} = \frac{2}{3}

    \displaystyle \frac{4}{y} = \frac{2}{3}.


    Since \displaystyle \frac{4}{6} = \frac{2}{3}, that means \displaystyle y=6.
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  3. #3
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    Thankx ,solution is crystal clear sir...
    Thankx a lot

    DexKann
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