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    Three numbers are in the ratio of 1:2:3, and their greatest common divisor is 12. What are the numbers?
    Question

    Three numbers are in the ratio of 1:2:3, and their greatest common divisor is 12. What are the numbers?

    A.

    12, 24, 36

    B.

    5, 10, 15

    C.

    4, 8, 12

    D.

    10, 20, 30

    Correct option is A

    Given:
    - Ratio of the numbers = 1 : 2 : 3
    - Greatest Common Divisor (GCD) = 12

    Formula Used:

    If numbers are in the ratio a : b : c and their GCD is x, then the actual numbers are:
    x × a, x × b, and x × c

    Solution:

    Multiply each ratio term by the GCD:
    - 1 × 12 = 12
    - 2 × 12 = 24
    - 3 × 12 = 36
    Hence, the actual numbers are:
    12, 24, and 36

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