The average age of 11 players of cricket team is decreased by 2 months when two of them aged 17 years and 20 years are replaced by two new players. The average age of the new players is?
- 17 years 7 months
- 17 years 11 months
- 17 years 1 months
- None of these
Explanation
Total age of new players = Total age of replaced players - Total decrease in age of all players
Total age of new players = 17 + 20 - (11 × 2)/12
⇒ Total age of new players = 37 - (11/6)
⇒ Total age of new players = (222 - 11)/6
⇒ Total age of new players = 211/6
⇒ The Average age of two new players = 211/12
∴ The average age of two new players is 17 years 7 months.
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