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The average age of 30 boys of a class is equal to 14 years. When the age of the class teacher is included the average becomes 15 years. Find the age of the class teacher?
  • a)
    50
  • b)
    44
  • c)
    45
  • d)
    42
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The average age of 30 boys of a class is equal to 14 years. When the a...
Answer – C (45) Explanation – Total ages of 30 boys = 14 x 30 = 420 years Total age when class teacher is included = 15 x 31 = 465 years Age of class teacher = 465 – 420 = 45 years
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The average age of 30 boys of a class is equal to 14 years. When the a...
Given:
Average age of 30 boys = 14 years
Average age of 30 boys and class teacher = 15 years

To find:
Age of the class teacher

Solution:
Let the age of the class teacher be x
Total age of the 30 boys = 30 * 14 = 420
Total age of the 30 boys and class teacher = 31 * 15 = 465

Now, we can use the formula:
Total age = Average age * Number of persons

Using this formula, we can write two equations:
420 + x = 31 * 15
420 + x = 465
x = 465 - 420
x = 45

Therefore, the age of the class teacher is 45 years.

Answer: Option C) 45
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The average age of 30 boys of a class is equal to 14 years. When the age of the class teacher is included the average becomes 15 years. Find the age of the class teacher?a)50b)44c)45d)42e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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