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    Question

    The average of 11 numbers is 50. The average of the

    first six numbers is 48 and the average of the last six numbers is 52. Find the 6th number.
    A 50 Correct Answer Incorrect Answer
    B 75 Correct Answer Incorrect Answer
    C 80 Correct Answer Incorrect Answer
    D 32 Correct Answer Incorrect Answer

    Solution

    Total sum of 11 numbers = 11 ├Ч 50 = 550 Sum of first 6 numbers = 6 ├Ч 48 = 288 Sum of last 6 numbers = 6 ├Ч 52 = 312 The 6th number is counted in both these sums. So: (First 6 sum) + (Last 6 sum) тИТ (6th number) = Total sum 288 + 312 тИТ x = 550 600 тИТ x = 550 тЗТ x = 50 6th number = 50.

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