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The LCM of two no.is 14 …

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The LCM of two no.is 14 times their HCF.The sum of LCM and HCF is 609.if one no. Is 280,then the other no.

    • Posted by Vanshika Sharma 6 years, 6 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 6 months ago

    Let a and b are numbers and HCF = x 
    Then LCM = 14x
    Now sum of HCF and LCM
    x+14x =600
    15x = 600
    x = 40
    Hence HCF=40 and LCM=14{tex}\times{/tex}40
    Given a=280 and b=?
    We know that
    a {tex}\times{/tex} b = HCF {tex}\times{/tex} LCM
    So {tex}\mathrm b=\frac{40\times14\times40}{280}=2\times40=80{/tex}
    Hence the other number = 80

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