Two numbers have these properties. * Both numbers are greater than 6 * Their highest common factor (HCF) is 6 * Their lowest common multiple

Question

Two numbers have these properties. * Both numbers are greater than 6 * Their highest common factor (HCF) is 6 * Their lowest common multiple (LCM) IS 60 Find the two numbers

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Acacia 1 month 2021-09-05T08:26:46+00:00 1 Answers 0 views 0

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    2021-09-05T08:28:15+00:00

    Answer:

    The two numbers are 12 and 30

    Step-by-step explanation:

    It is given that both the numbers are greater than 6

    Let the two numbers be X and Y

    As we know

    X * Y = LCM * HCF

    XY = 360

    Let us list down some combinations of X and Y and test above conditions

    There can be following pairs

    a) 6,60

    b) 18,20

    c) 24,15

    d) 12,30

    LCM of the two numbers is 60 and both the numbers are greater than 6

    So only 12, 30 satisfy the set condition.

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