Question

    The average of five consecutive natural numbers is 14. What will be the average of the seven numbers if the next two natural numbers are also included?

    A 10 Correct Answer Incorrect Answer
    B 15 Correct Answer Incorrect Answer
    C 20 Correct Answer Incorrect Answer
    D 30 Correct Answer Incorrect Answer

    Solution

    Let the first natural number be N. According to the question, N + (N + 1) + (N + 2) + (N + 3) + (N + 4) = 14 x 5 5N + 10 = 70 5N = 60 N = 60/5 N = 12 The sum of the seven numbers N+ (N+1) + (N+2) + (N + 3) + (N + 4) + (N+5) + (N + 6) =7N + 21 =7 x 12 + 21=105 Average of the seven numbers = 105/7 = 15 The average of the seven numbers if the next two natural numbers are also included will be 15.

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