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    The ratio of two numbers is 7: 11 and their LCM is 462. What is the difference between these two numbers?
    Question

    The ratio of two numbers is 7: 11 and their LCM is 462. What is the difference between these two numbers?

    A.

    24

    B.

    26

    C.

    30

    D.

    28

    Correct option is A

    Let the two numbers be 7x and 11x.
    Since 7 and 11 are prime numbers, the LCM of 7x and 11x is 77x.
    77x = 462
    x = 6
    7x = 7 × 6 = 42
    11x = 11×  6 = 66
    Difference between the two numbers:
    66 - 42 = 24

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