Question
The average age of a team of 6 members is 35 years. If
the oldest member retires, the average age of the team decreases by 3 years. Find the age of the member who retired.Solution
Let the age of the member who retired be 'y' years. Total age of the 6 members = 6 × 35 = 210 years When the oldest member retires, the average age of the remaining 5 members = 35 - 3 = 32 years Total age of the 5 remaining members = 32 × 5 = 160 years Now, the total age after the retirement of the oldest member is the sum of the remaining 5 members' ages plus the age of the member who retired. So, y + 160 = 210 y = 210 - 160 y = 50 years Thus, the age of the member who retired is 50 years.
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