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    The LCM and HCF of two numbers is 2400 and 20, respectively. When we divide the first number by 8, the quotient 60. Then the second number is:
    Question

    The LCM and HCF of two numbers is 2400 and 20, respectively. When we divide the first number by 8, the quotient 60. Then the second number is:

    A.

    300

    B.

    600

    C.

    400

    D.

    100

    Correct option is D

    Given:

    LCM = 2400

    HCF = 20

    First number ÷ 8 = 60

    Concept Used:

    Product of numbers = LCM × HCF

    Solution:

    First number = 60 × 8 = 480

    Let the second number be x

    480×x=2400×20480 \times x = 2400 \times 20

    x=2400×20480x = \frac{2400 \times 20}{480}

    x=48000480=100x = \frac{48000}{480} = 100

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