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    Question

    The sum of three numbers is 96. If the ratio of

    smallest number to largest number is 1:7, and that of smallest number to second smallest number is 1:4, then find the largest number.
    A 49 Correct Answer Incorrect Answer
    B 56 Correct Answer Incorrect Answer
    C 63 Correct Answer Incorrect Answer
    D 70 Correct Answer Incorrect Answer

    Solution

    Let the smallest number be 'x' So, second smallest number = 4x And largest number = x × 7 = 7x ATQ: 4x + 7x + x = 96 Or,
    12x = 96 So,
    x = 8 So, largest number = 8 × 7 = 56

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