Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

General Ability

Topic

Age Problems

Question:

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 ?

Options:

28 years 1 month

28 years 2 month

29 years 1 month

29 years 11 month

Correct Answer:

28 years 1 month

Explanation:

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.