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    Question

    A set contains ten numbers. The average of the first

    six numbers is (x тИТ 6), and the average of the last three numbers is (x + 6). The average of the entire set is 'x'. If the 7th number of the set is 36, then find the value of 'x'.
    A 18 Correct Answer Incorrect Answer
    B 20 Correct Answer Incorrect Answer
    C 22 Correct Answer Incorrect Answer
    D 24 Correct Answer Incorrect Answer
    E 16 Correct Answer Incorrect Answer

    Solution

    Sum of the numbers of set = 10x Sum of first 6 numbers = 6(x тИТ 6) = 6x тИТ 36 Sum of last 3 numbers = 3(x + 6) = 3x + 18 ATP, 6x тИТ 36 + 36 + 3x + 18 = 10x 9x + 18 = 10x x = 18┬а

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