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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?
Most Upvoted 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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