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 27 years and 31 years. What is the average age of new players is ?
Answer & explanation
Correct answer: option 1
Total age of new players = Total age of replaced players - Total decrease in age of all players
Total age of new players = ( 27 + 31 ) - \(\frac{11× 2}{12}\)
Total age of new players = 58 - \(\frac{11}{6}\)
Total age of new players = \(\frac{348 -11}{6}\)
Total age of new players = \(\frac{337}{6}\)
Average age of two new players = \(\frac{337}{12}\)
Average age of two new players is 28 years 1 month.