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Averages · Question 43 of 62

Question 43

EasyOriginal question

The average age of the 11 players in a football team is 22 years. When the coach is included, the average age becomes 23 years. How old is the coach?

Options for question 43

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Players' total age = 11×22=24211 \times 22 = 242 years.

  2. Total with the coach = 12×23=27612 \times 23 = 276 years.

  3. Coach's age = 276−242=34276 - 242 = 34 years.

Worth noting

Shortcut: the coach is the new average plus 1 year for each of the 11 players: 23+11=3423 + 11 = 34. Adding 11 to the OLD average gives 33.

Concept
Age of a person whose inclusion raises the average
Typical time
40 s
Your time
—
The rule this testsChange in average
Practise this chapter →

Ten questions from Averages, at your own pace.

Practise this chapter →

Ten questions from Averages, at your own pace.