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6 November, 23:04

two numbers have these properties both numbers are greater than 8 their highest common factor is 8 their lowest common multiple is 80 find the two numbers

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  1. 7 November, 01:04
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    Answer: 8 and 80

    Step-by-step explanation:

    8 * 5 = 40

    8 * 10 = 80

    8 must be the hcf of two separate numbers. So, one of them must be 8, and the other must be greater than 8.

    Multiples of 8:

    8

    16

    24

    32

    40

    48

    56

    64

    72

    80

    The numbers on that list that multiply evenly to 80:

    8, 16, 40, 80

    16 is the lowest common multiple of 16 and 8

    40 is the lowest common multiple of 40 and 8

    80 is the lowest common multiple of 80 and 8

    So the two numbers are 8 and 80; the highest common factor (HCF) is indeed 8.
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