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    Question

    The average of two numbers is 4 more than the smaller

    number among them. If the greater number is 50% more than the smaller number, then find the sum of the two numbers.
    A 30 Correct Answer Incorrect Answer
    B 35 Correct Answer Incorrect Answer
    C 40 Correct Answer Incorrect Answer
    D 45 Correct Answer Incorrect Answer
    E 50 Correct Answer Incorrect Answer

    Solution

    Let the smaller number be 2x.
    So, the greater number = 1.5 × 2x = 3x.
    ATQ, 2x + 4 = (2x + 3x) / 2
    ⇒ 2x + 4 = 5x / 2
    ⇒ 4x + 8 = 5x
    ⇒ x = 8
    So, the sum = 5x = 5 × 8 = 40.

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