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

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.