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    Question

    The average of two numbers is 12 more than the smaller

    number among them. If the greater number is 150% more than the smaller number, then find the sum of the two numbers.
    A 50 Correct Answer Incorrect Answer
    B 52 Correct Answer Incorrect Answer
    C 54 Correct Answer Incorrect Answer
    D 56 Correct Answer Incorrect Answer
    E 58 Correct Answer Incorrect Answer

    Solution

    Let the smaller number be 4x.
    Greater = 2.5 × 4x = 10x.
    ATQ, 4x + 12 = (4x + 10x)/2 = 7x
    ⇒ x = 4
    Sum = 14x = 14 × 4 = 56.

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