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Math Help - plz help me

  1. #1
    Junior Member
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    Jan 2009
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    28

    plz help me

    If a,b,c belongs to R and a+b+c=26, 1/a +1/b + 1/c =28then the value of (a/b +b/c +c/a + a/c +c/b +b/a) =..

    A)723
    b) 724
    c) 725
    d0 none of these
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  2. #2
    MHF Contributor alexmahone's Avatar
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    Thanks
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    (a+b+c)(\frac{1}{a}+\frac{1}{b}+\frac{1}{c})=1+\fr  ac{a}{b}+\frac{a}{c}+\frac{b}{a}+1+\frac{b}{c}+\fr  ac{c}{a}+\frac{c}{b}+1

    26*28=3+(\frac{a}{b}+\frac{c}{a}+\frac{b}{a}+\frac  {b}{c}+\frac{c}{a}+\frac{c}{b})

    728=3+\frac{a}{b} +\frac{b}{c} +\frac{c}{a} + \frac{a}{c} +\frac{c}{b} +\frac{b}{a}

    \frac{a}{b} +\frac{b}{c} +\frac{c}{a} + \frac{a}{c} +\frac{c}{b} +\frac{b}{a}=725
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  3. #3
    Junior Member
    Joined
    Jan 2009
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    thank u

    thanks
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