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    Question

    The average of two numbers is 8 more than the smaller

    number among them. If the greater number is 33.33% more than the smaller number, then find the sum of the two numbers.
    A 100 Correct Answer Incorrect Answer
    B 105 Correct Answer Incorrect Answer
    C 110 Correct Answer Incorrect Answer
    D 112 Correct Answer Incorrect Answer
    E 115 Correct Answer Incorrect Answer

    Solution

    Let the smaller number be 3x.
    Greater = 1.333 × 3x = 4x.
    ATQ, 3x + 8 = (3x + 4x) / 2 = 7x / 2
    ⇒ 6x + 16 = 7x
    ⇒ x = 16
    Sum = 7x = 7 × 16 = 112.

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