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    Question

    Three numbers are in the ratio 6:9:14. If the difference

    between the sum of the smallest and the largest number and the sum of the smallest and the second largest number is 30, then find the largest number.
    A 48 Correct Answer Incorrect Answer
    B 75 Correct Answer Incorrect Answer
    C 84 Correct Answer Incorrect Answer
    D 70 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ;
    Let the three numbers be 6x, 9x, and 14x, respectively.
    ATQ,
    (6x+14x)−(6x+9x)=30
    20x−15x=30
    5x=30
    x=6
    Therefore, the largest number = 14x = 14 × 6 = 84

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