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In a class average age of 24 boys and their teachers is 15 years. When the teacher's age is excluded the average age decreases by one year. The age of teacher is?
- a)40
- b)39
- c)38
- d)41
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In a class average age of 24 boys and their teachers is 15 years. When...
Sum of the ages of 24 boys and 1 teacher = (15 x 25) years = 375 years.
Sum of the ages of 24 boys = (24 x 14) years = 336 years.
Age of the teacher = (375 − 336) years = 39 years.
Most Upvoted Answer
In a class average age of 24 boys and their teachers is 15 years. When...
Sum of the ages of 24 boys and 1 teacher = (15 x 25) years = 375 years.
Sum of the ages of 24 boys = (24 x 14) years = 336 years.
Age of the teacher = (375 − 336) years = 39 years.
Sum of the ages of 24 boys = (24 x 14) years = 336 years.
Age of the teacher = (375 − 336) years = 39 years.
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Community Answer
In a class average age of 24 boys and their teachers is 15 years. When...
Given information:
- Class has 24 boys and their teacher
- Average age of 24 boys and their teacher is 15 years
- Average age decreases by one year when teacher's age is excluded
To find:
- Age of teacher
Solution:
Let the age of teacher be x
Total age of 24 boys and teacher = 24*15 = 360 (as the average age is 15)
Total age of 24 boys = 360 - x (as the teacher's age is x)
Average age of 24 boys = (360 - x)/24
As per the given information, when the teacher's age is excluded, the average age decreases by one year. This means that the new average age of 24 boys is 14 years.
So, (360 - x)/24 - x/1 = 14
Simplifying the above equation, we get x = 39
Therefore, the age of the teacher is 39 years.
Answer: Option B (39)
- Class has 24 boys and their teacher
- Average age of 24 boys and their teacher is 15 years
- Average age decreases by one year when teacher's age is excluded
To find:
- Age of teacher
Solution:
Let the age of teacher be x
Total age of 24 boys and teacher = 24*15 = 360 (as the average age is 15)
Total age of 24 boys = 360 - x (as the teacher's age is x)
Average age of 24 boys = (360 - x)/24
As per the given information, when the teacher's age is excluded, the average age decreases by one year. This means that the new average age of 24 boys is 14 years.
So, (360 - x)/24 - x/1 = 14
Simplifying the above equation, we get x = 39
Therefore, the age of the teacher is 39 years.
Answer: Option B (39)
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In a class average age of 24 boys and their teachers is 15 years. When the teacher's age is excluded the average age decreases by one year. The age of teacher is?a)40b)39c)38d)41Correct answer is option 'B'. Can you explain this answer?
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