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    Two numbers are in the ratio 1 : 3. If the product of their HCF and LCM is 1200, then the numbers are ______ and _____.
    Question

    Two numbers are in the ratio 1 : 3. If the product of their HCF and LCM is 1200, then the numbers are ______ and _____.

    A.

    20, 60

    B.

    30, 90

    C.

    15, 45

    D.

    10, 30

    Correct option is A

    Given:

    Two numbers are in the ratio 1 : 3

    Product of their HCF and LCM = 1200

    Concept Used:

    For any two numbers (a, b): 

    a × b = HCF × LCM

    Solution:

    Let numbers be k and 3k

    So, 

    k × (3k) = 1200

    3k2 =1200

    k2 = 400

    k = 20
    Numbers = k, 3k = 20, 60

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