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    LCM and HCF of two numbers are 140 and 5 respectively. If one of the numbers is 35, then find the other number.
    Question

    LCM and HCF of two numbers are 140 and 5 respectively. If one of the numbers is 35, then find the other number.

    A.

    23

    B.

    19

    C.

    22

    D.

    20

    Correct option is D

    Given:

    LCM of the two numbers = 140

    HCF of the two numbers = 5

    One of the numbers = 35

    Formula Used:

    LCM × HCF = a × b

    Solution:

    Substitute the given values into the formula:

    140 × 5 = 35 × x

    700 = 35 × x

    x = 70035\frac{700}{35}​ = 20

    Thus, the other number is 20.

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