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    Question

    The average of the second and third numbers is 50, while

    the average of the first and fourth numbers is 54. If the sum of the second and fourth numbers is 106, find the second number.
    A 45 Correct Answer Incorrect Answer
    B 50 Correct Answer Incorrect Answer
    C 78 Correct Answer Incorrect Answer
    D 45 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let, the number be x, y, z and w respectively. According to the question, y+ z = 100 ... (1) x+ w = 108 ... (2) y + w = 106......(3) solve these equations From equation (1) and (3), Subtract to find  w - z = 6 ....(4) substitute w from (4) and (3) y + z + 6 = 162 y = 50 

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