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If HCF of 65 and 117 …

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If HCF of 65 and 117 is expressible in the form of 65m-117 then find the value of m

    • Posted by Shineegha Thiyagarajan 6 years, 4 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 4 months ago

    117 = 13 {tex}\times{/tex} 3 {tex}\times{/tex} 3
    65 = 13 {tex}\times{/tex} 5
    HCF (117, 65) = 13
    LCM(117,65) = 13 {tex}\times{/tex} 5 {tex}\times{/tex} 3 {tex}\times{/tex} 3 = 585
    Here is given that:
    {tex}HCF =65m-117{/tex}
    13 = 65m - 117
    65m = 130
    m = {tex}\frac { 130 } { 6 5 } ={/tex}2

     

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