Question 113

The average age of a cricket team of eleven players is 27 years. If two more players are included in the team the average becomes 26 years, then the average age (in years) of the two included players is:

Average age of the original 11 players is $$27$$ years.

Total age of these 11 players $$= 11 \times 27 = 297$$ years.

After adding 2 more players, the team has $$11+2 = 13$$ players and the average age becomes $$26$$ years.

Total age of all 13 players $$= 13 \times 26 = 338$$ years.

Hence, total age of the two new players $$= 338 - 297 = 41$$ years.

Average age of the two new players $$= \frac{41}{2} = 20.5$$ years.

Therefore, Option D which is: 20.5.

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