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    Question

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

    first 12 numbers is 64.5 while average of last 5 numbers is 84.8 and 13th, 14th and 15th numbers are (3x - 49), (x + 52) and 183 respectively. Find the 14th number.
    A 132 Correct Answer Incorrect Answer
    B 147.5 Correct Answer Incorrect Answer
    C 138.5 Correct Answer Incorrect Answer
    D 142 Correct Answer Incorrect Answer

    Solution

    According to question, => 20x = 64.5 × 12 + 84.8 × 5 + 3x – 49 + x + 52 + 183 => 16x = 1384 => x = 86.5 Therefore, 14th number = 86.5 + 52 = 138.5

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