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    Question

    There are three numbers, such that thrice the first

    number is equal to four times the second number and six times the third number. Find the ratio of the first, second and third number.
    A 4:3:2 Correct Answer Incorrect Answer
    B 6:4:3 Correct Answer Incorrect Answer
    C 2:3:4 Correct Answer Incorrect Answer
    D 3:4:6 Correct Answer Incorrect Answer

    Solution

    Let the numbers be A, B, C. Given: 3A = 4B = 6C. Let this common value be k. So, A = k/3, B = k/4, C = k/6. Ratio A : B : C = k/3 : k/4 : k/6. Multiply by LCM of 3,4,6 which is 12: => (12k/3) : (12k/4) : (12k/6) = 4k : 3k : 2k = 4 : 3 : 2

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