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The average age of a team of players is 24 years. When the age of their trainer is also included, the average age increases by 1 year. If the age of the trainer is 36 years, find the number of players in the team.
  • a)
    8
  • b)
    9
  • c)
    10
  • d)
    11
  • e)
    12
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The average age of a team of players is 24 years. When the age of the...
Given Information:
- The average age of the team of players is 24 years.
- When the age of the trainer is included, the average age increases by 1 year.
- The age of the trainer is 36 years.

Solution:
1. Initial Average Age Calculation:
Let the number of players in the team be x.
The total age of the players in the team = 24x (as the average age of the team is 24 years).
The total age of players and the trainer = 24x + 36 (as the trainer is 36 years old).
The total number of people (players + trainer) = x + 1.
2. Final Average Age Calculation:
The new average age when the trainer is included = (24x + 36) / (x + 1).
Given that this new average age is 1 year more than the initial average age of 24 years:
(24x + 36) / (x + 1) = 24 + 1
24x + 36 = 25(x + 1)
24x + 36 = 25x + 25
36 - 25 = 25x - 24x
11 = x
3. Number of Players in the Team:
The number of players in the team is x = 11.
Therefore, the correct answer is option D) 11.
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Community Answer
The average age of a team of players is 24 years. When the age of the...
Let the number of players be ‘x’.
Average age of x players = 24 years
⇒ Total age of x players = 24x years
Also, including the age of trainer,
Average age of (x + 1) people = 24 + 1 = 25 years
⇒ Total age of (x + 1) people = 25(x + 1) years
∵ Age of trainer = 36 years
⇒ 24x + 36 = 25x + 25
⇒ 25x – 24x = 36 – 25
⇒ x = 11
∴ No. of players in team = 11
Hence, the correct option is (D).
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The average age of a team of players is 24 years. When the age of their trainer is also included, the average age increases by 1 year. If the age of the trainer is 36 years, find the number of players in the team.a)8b)9c)10d)11e)12Correct answer is option 'D'. Can you explain this answer?
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