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The average age of the Indian Cricket team comprising of 11 players is 29 years. K L Rahul, whose current age is 27 years joined the team 2 years ago. Another player, Sachin Tendulkar whose present age is 38 years, retired from the team when KL Rahul joined the team. What was the average age of the team one year prior to Sachin’s retirement?

Question

The average age of the Indian Cricket team comprising of 11 players is 29 years. K L Rahul, whose current age is 27 years joined the team 2 years ago. Another player, Sachin Tendulkar whose present age is 38 years, retired from the team when KL Rahul joined the team. What was the average age of the team one year prior to Sachin’s retirement?

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Solution

Sure, let's break it down step by step:

  1. The average age of the Indian Cricket team comprising of 11 players is 29 years. This means the total age of the team is 29 * 11 = 319 years.

  2. K L Rahul, whose current age is 27 years joined the team 2 years ago. This means when he joined, he was 27 - 2 = 25 years old.

  3. Another player, Sachin Tendulkar whose present age is 38 years, retired from the team when KL Rahul joined the team. This means when he retired, he was 38 - 2 = 36 years old.

  4. When KL Rahul joined the team and Sachin Tendulkar retired, the total age of the team remained the same. So, the total age of the team when Sachin retired was 319 + 36 (Sachin's age at retirement) - 25 (KL Rahul's age when he joined) = 330 years.

  5. We want to find the average age of the team one year prior to Sachin’s retirement. This means the total age of the team one year prior to Sachin’s retirement was 330 - 11 (because each of the 11 players was one year younger) = 319 years.

  6. Therefore, the average age of the team one year prior to Sachin’s retirement was 319 / 11 = 29 years.

This problem has been solved

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