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The LCM of 2numbers is14 times …

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The LCM of 2numbers is14 times their HCF . The sum of LCM and HCF is600 if one number is 280,then find the other number?

    • Posted by Shifana Km 6 years, 5 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 5 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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