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    Question

    Three numbers are in the ratio 2:5:7. 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 15, then find the largest number.
    A 48.8 Correct Answer Incorrect Answer
    B 52.5 Correct Answer Incorrect Answer
    C 84.4 Correct Answer Incorrect Answer
    D 70.5 Correct Answer Incorrect Answer

    Solution

    ATQ;
    Let the three numbers be 2x, 5x, and 7x, respectively.
    ATQ,
    (2x+7x) − (2x+5x) = 15
    9x−7x=15
    2x=15
    x=7.5
    Therefore, the largest number = 7x = 7 × 7.5 = 52.5

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