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    Question

    Average 20 numbers is ‘x’. If the average of first

    12 numbers is 74.5 while average of last 5 numbers is 84.8 and 13th, 14th and 15th numbers are (4x - 45), (x + 50) and 183 respectively. Find the 14th number.
    A 148.5 Correct Answer Incorrect Answer
    B 150.4 Correct Answer Incorrect Answer
    C 152.6 Correct Answer Incorrect Answer
    D 131 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    According to question, => 20x = 74.5 × 12 + 84.8 × 5 + 4x – 45 + x + 50 + 183 => 15x = 1506 => x = 100.4 Therefore, 14th number = 100.4 + 50 = 150.4

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