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    Question

    The average of two numbers is 6 more than the smaller

    number among them. If the greater number is 66.67% more than the smaller number, then find the sum of the two numbers.
    A 42 Correct Answer Incorrect Answer
    B 46 Correct Answer Incorrect Answer
    C 48 Correct Answer Incorrect Answer
    D 50 Correct Answer Incorrect Answer

    Solution

    Let the smaller number be 3x.
    Greater number = 1.6667 × 3x = 5x.
    ATQ, 3x + 6 = (3x + 5x) / 2
    ⇒ 3x + 6 = 4x
    ⇒ x = 6
    Sum = 8x = 8 × 6 = 48.

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