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    Question

    The average of two numbers is 3 more than the smaller

    number among them. If the greater number is 25% more than the smaller number, then find the sum of the two numbers.
    A 48 Correct Answer Incorrect Answer
    B 50 Correct Answer Incorrect Answer
    C 52 Correct Answer Incorrect Answer
    D 54 Correct Answer Incorrect Answer
    E 56 Correct Answer Incorrect Answer

    Solution

    Let the smaller number be 4x.
    Greater = 1.25 × 4x = 5x.
    ATQ, 4x + 3 = (4x + 5x) / 2
    ⇒ 4x + 3 = 9x / 2
    ⇒ 8x + 6 = 9x
    ⇒ x = 6
    Sum = 9x = 9 × 6 = 54.

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