The average age of 11 players of a cricket team is increased by 2 months, when two of them aged 20 years and 21 years, respectively, are replaced by two new players. Find the average age of the two new players (in years).
- ((a))
18
- ((b))
- ((c))
18
- ((d))
20
Show Answer
Given:
The average age of 11 players is increased by 2 months when two players aged 20 years and 21 years are replaced by two new players.
Formula Used:
Total age increase due to replacement = Increase in average age × Number of players
Average age of the two new players = (Total age of the two new players) / 2
Calculation:
Increase in average age = 2 months = 2/12 years = 1/6 years
Total age increase due to replacement = 1/6 years × 11
Total age increase due to replacement = 11/6 years
Let the ages of the two new players be x and y years.
(x + y) - (20 + 21) = 11/6 years
(x + y) - 41 = 11/6 years
⇒ x + y = 41 + 11/6
⇒ x + y = 246/6 + 11/6
⇒ x + y = 257/6
Average age of the two new players = (x + y) / 2
⇒ Average age of the two new players = (257/6) / 2
⇒ Average age of the two new players = 257/12 years =
∴ The average age of the two new players is years.





















































