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    Question

    The addition of the average of two numbers and the third

    number results in 270, 258 and 246 respectively. Find the required difference between max and min number.
    A 62 Correct Answer Incorrect Answer
    B 56 Correct Answer Incorrect Answer
    C 48 Correct Answer Incorrect Answer
    D 75 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let numbers be x, y, z. 2x + y + z = 270 × 2 = 540 x + 2y + z = 258 × 2 = 516 x + y + 2z = 246 × 2 = 492 4(x + y + z) = 540 + 516 + 492 = 1548 x + y + z = 387 x = 540 – 387 = 153 y = 516 – 387 = 129 z = 492 – 387 = 105 Difference = 153 – 105 = 48

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