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    Question

    The average of two numbers is 11 more than the smaller

    number among them. If the greater number is 87.5% more than the smaller number, then find the sum of the two numbers.
    A 496 Correct Answer Incorrect Answer
    B 500 Correct Answer Incorrect Answer
    C 506 Correct Answer Incorrect Answer
    D 510 Correct Answer Incorrect Answer

    Solution

    Let the smaller number be 16x.
    Greater = 1.875 × 16x = 30x.
    ATQ, 16x + 11 = (16x + 30x) / 2 = 23x
    ⇒ x = 11
    Sum = 46x = 46 × 11 = 506

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