The average age of 11 players of a cricket team decreases by 2 months when two new players are included in the team replacing two players of age 17 years and 20 years. What is the average age of new players is ?
Answer & explanation
Correct answer: option 2
Total age of new players = Total age of replaced players - Total decrease in age of all players
Total age of new players = ( 17 + 20 ) - \(\frac{11×2}{12}\)
Total age of new players = 37 - \(\frac{11}{6}\)
Total age of new players = \(\frac{222 -11}{6}\)
Total age of new players = \(\frac{211}{6}\)
Average age of two new players = \(\frac{211}{12}\)
Average age of two new players is 17 years 7 months.