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The average age of a team of 9 members is 23 years. If the age of the team leader be included then the average increases by 3 months. What is the age of the team leader ?
- a)25 years
- b)25.25 years
- c)24.75 years
- d)25.5 years
Correct answer is option 'D'. Can you explain this answer?
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The average age of a team of 9 members is 23 years. If the age of the ...
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Problem Analysis:
Let's assume the age of the team leader is 'x' years. According to the given information, the average age of the team without the team leader is 23 years and the average age with the team leader is 23 years and 3 months. We need to find the age of the team leader.
Solution:
Let's solve this problem step by step.
Step 1:
We are given that the average age of the team without the team leader is 23 years. Therefore, the sum of the ages of the 9 team members (excluding the leader) is 9 * 23 = 207 years.
Step 2:
We are also given that the average age with the team leader is 23 years and 3 months. Let's convert 3 months into years. Since 1 year has 12 months, 3 months is equal to 3/12 = 0.25 years.
Step 3:
Now, let's calculate the new average age with the team leader. Since there are 10 members in the team (including the leader), the sum of their ages is 10 * 23.25 = 232.5 years.
Step 4:
To find the age of the team leader, we need to subtract the sum of the ages of the other 9 team members from the sum of the ages of all 10 members.
Age of the team leader = Sum of ages of all 10 members - Sum of ages of other 9 members
Age of the team leader = 232.5 - 207 = 25.5 years
Therefore, the age of the team leader is 25.5 years.
Answer:
The age of the team leader is 25.5 years.
Let's assume the age of the team leader is 'x' years. According to the given information, the average age of the team without the team leader is 23 years and the average age with the team leader is 23 years and 3 months. We need to find the age of the team leader.
Solution:
Let's solve this problem step by step.
Step 1:
We are given that the average age of the team without the team leader is 23 years. Therefore, the sum of the ages of the 9 team members (excluding the leader) is 9 * 23 = 207 years.
Step 2:
We are also given that the average age with the team leader is 23 years and 3 months. Let's convert 3 months into years. Since 1 year has 12 months, 3 months is equal to 3/12 = 0.25 years.
Step 3:
Now, let's calculate the new average age with the team leader. Since there are 10 members in the team (including the leader), the sum of their ages is 10 * 23.25 = 232.5 years.
Step 4:
To find the age of the team leader, we need to subtract the sum of the ages of the other 9 team members from the sum of the ages of all 10 members.
Age of the team leader = Sum of ages of all 10 members - Sum of ages of other 9 members
Age of the team leader = 232.5 - 207 = 25.5 years
Therefore, the age of the team leader is 25.5 years.
Answer:
The age of the team leader is 25.5 years.
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The average age of a team of 9 members is 23 years. If the age of the team leader be included then the average increases by 3 months. What is the age of the team leader ?a)25 yearsb)25.25 yearsc)24.75 yearsd)25.5 yearsCorrect answer is option 'D'. Can you explain this answer?
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The average age of a team of 9 members is 23 years. If the age of the team leader be included then the average increases by 3 months. What is the age of the team leader ?a)25 yearsb)25.25 yearsc)24.75 yearsd)25.5 yearsCorrect answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The average age of a team of 9 members is 23 years. If the age of the team leader be included then the average increases by 3 months. What is the age of the team leader ?a)25 yearsb)25.25 yearsc)24.75 yearsd)25.5 yearsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average age of a team of 9 members is 23 years. If the age of the team leader be included then the average increases by 3 months. What is the age of the team leader ?a)25 yearsb)25.25 yearsc)24.75 yearsd)25.5 yearsCorrect answer is option 'D'. Can you explain this answer?.
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