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The average age of 4 boys is 15 years and it becomes 17 years when a girl joins them. If one of the boys is 4 years younger than the girl, what is the average age of the other 3 boys?
  • a)
    12
  • b)
    15
  • c)
    13
  • d)
    18
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The average age of 4 boys is 15 years and it becomes 17 years when a g...
Age of the girl = 5 × 17 – 4 × 15 = 25 years
Age of one of the boys = 25 – 4 = 21
Age of the remaining 3 boys = 4 × 15 – 21 = 39

Hence, Option C is correct.
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Community Answer
The average age of 4 boys is 15 years and it becomes 17 years when a g...
Given Information:
- Average age of 4 boys = 15 years
- Average age of 4 boys and 1 girl = 17 years
- One of the boys is 4 years younger than the girl

Solution:

Step 1: Calculate total age of 4 boys
Total age of 4 boys = 4 boys * 15 years = 60 years

Step 2: Calculate total age of 4 boys and 1 girl
Total age of 4 boys and 1 girl = 5 persons * 17 years = 85 years

Step 3: Calculate age of the girl
Age of the girl = Total age of 4 boys and 1 girl - Total age of 4 boys
Age of the girl = 85 years - 60 years = 25 years

Step 4: Calculate age of the boy who is 4 years younger than the girl
Age of the boy = Age of the girl - 4 years = 25 years - 4 years = 21 years

Step 5: Calculate total age of the other 3 boys
Total age of the other 3 boys = Total age of 4 boys - Age of the boy = 60 years - 21 years = 39 years

Step 6: Calculate average age of the other 3 boys
Average age of the other 3 boys = Total age of the other 3 boys / 3 boys = 39 years / 3 = 13 years
Therefore, the average age of the other 3 boys is 13 years. Hence, option 'c' is the correct answer.
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The average age of 4 boys is 15 years and it becomes 17 years when a girl joins them. If one of the boys is 4 years younger than the girl, what is the average age of the other 3 boys?a)12b)15c)13d)18Correct answer is option 'C'. Can you explain this answer?
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