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28 June, 08:05

The highest common factor (HCF) of 140 and x is 20

The lowest common multiple (LCM) of 140 and x is 420

Find the value of x

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Answers (1)
  1. 28 June, 08:14
    0
    x=60

    Step-by-step explanation:

    Given that,

    HCF of 140 and x=20,

    LCM of 140 and x = 420.

    Solution:

    It is known that the product of two numbers is equal to the product of their HCF and LCM, i-e:

    140*x = HCF*LCM

    Putting in the values provided,

    140*x=20*420

    140*x=8400

    x=8400/140

    x=60

    Hence the variable x is 60.
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