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    Question

    Three numbers are in the ratio 3:5:8. 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 18, then find the largest number.
    A 48 Correct Answer Incorrect Answer
    B 75 Correct Answer Incorrect Answer
    C 66 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 3x, 5x, and 8x, respectively.
    ATQ,
    (3x+8x)−(3x+5x)=18
    11x−8x=18
    3x=18
    x=6
    Therefore, the largest number = 8x = 8 × 6 = 48

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