Multiple choice

The leader of a group of 8 members is 31 years old and one of the members is four years older than the leader. If the ages of these two are excluded, the average age of the remaining 6 members is two year less than the average of the whole group. What is the average of the group?

  1. 27 years

  2. 39 years

  3. 22 years

  4. 17 years

  5. None of these
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A Correct answer
Explanation

Let total members be 8, average A. Total age = 8A. Leader = 31, member = 35. Remaining 6 members sum = 8A - 66. Average = (8A-66)/6 = A - 2. 8A - 66 = 6A - 12. 2A = 54, A = 27.

AI explanation

Let the average age of the whole group of 8 members be x, making their total age 8x. The leader is 31 and the older member is 35, so their combined age is 66. The average age of the remaining 6 members is x minus 2, making their total age 6x minus 12. This leads to the equation 8x minus 66 equals 6x minus 12, which solves to x equals 27 years.

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