Question : The average age of a team having 12 players is 24 years. If the age of the coach is also included, then the average age increases by 2 years. What is the age of the coach?
Option 1: 53 years
Option 2: 57 years
Option 3: 50 years
Option 4: 52 years
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Correct Answer: 50 years
Solution :
The total age of all the players = 12 × 24 = 288 years.
When the coach is included, the average age increases by 2 years.
The average age of the team including the coach is 24 + 2 = 26 years
The total number of people in the team including the coach = 12 + 1 = 13
Therefore, the total age of the team including the coach = 13 × 26 = 338 years
The age of the coach is the total age of the team including the coach minus the total age of the players, which is 338 – 288 = 50 years
Hence, the correct answer is 50 years.
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