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    Question

    Three numbers give 290, 276 and 260 respectively when

    the average of any two is added to the remaining number. What is the difference between the highest and lowest number?
    A 60 Correct Answer Incorrect Answer
    B 56 Correct Answer Incorrect Answer
    C 48 Correct Answer Incorrect Answer
    D 75 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let numbers be x, y, z. 2x + y + z = 290 × 2 = 580 x + 2y + z = 276 × 2 = 552 x + y + 2z = 260 × 2 = 520 4(x + y + z) = 580 + 552 + 520 = 1652 x + y + z = 413 x = 580 – 413 = 167 y = 552 – 413 = 139 z = 520 – 413 = 107 Required difference = 167 – 107 = 60

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