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    The product of two numbers is 4107. If the HCF of these numbers is 37, then the greater number is:
    Question

    The product of two numbers is 4107. If the HCF of these numbers is 37, then the greater number is:

    A.

    111

    B.

    74

    C.

    185

    D.

    37

    Correct option is A

    Given:
    The product of two numbers is 4107.
    The HCF (Highest Common Factor) of these numbers is 37.
    Formula Used:
    The relation between the product of two numbers, their HCF, and LCM (Least Common Multiple) is given by:
    Product of two numbers = HCF × LCM 
    Solution:
    Numbers can be 37a and 37b.
    37a × 37b = 4107
    1369ab = 4107
    ab = 3
    Thus, the ordered pair of (a, b) is (1, 3)
    Numbers are 37 and 111

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