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math

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The greatest common factor of 2 numbers is
14, the least common multiple is 168. If the 2 numbers are not 14 and 168, what is the sum?

  • math -

    1st number : 14a = 2(7)(a)
    2nd number : 14b = 2(7)(b)

    168 = 2(2)(2)(3)(7)

    14ab = 8(3)(7)
    ab = 12

    could be:
    a b
    1 12
    2 6
    3 4

    If a=1, b=12 , the 2 numbers are 14 and 168 , but we are told that's not it
    if a = 2, b = 6, the 2 numbers are 28 84
    check:
    LCF of 28 and 84 would be 28

    if a = 3, b = 4
    the two numbers are 42 and 56
    LCF = 14
    42 = 2x3x7
    56 = 2x2x2x7
    LCM = 2x2x2x3x7 = 168 , YEAHH

    so the sum of the two numbers is 42+56 = 98

  • math -

    thank you a bunch reiny

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