Question:
The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by 3 months. Find the age of the teacher.
The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by 3 months. Find the age of the teacher.
Updated On: Mar 6, 2025
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- 25
- 35
- 30
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The Correct Option is B
Solution and Explanation
Step 1: Calculate the total age of the students
\[ 39 \times 15 = 585 \text{ years} \]
Step 2: Calculate the total age after including the teacher
After including the teacher, the total number of people becomes 40, and the new average age is:
\[ 15 + \frac{3}{12} = 15.25 \text{ years} \]
The total age of the 40 persons is:
\[ 40 \times 15.25 = 610 \text{ years} \]
Step 3: Find the teacher's age
\[ 610 - 585 = 25 \]
Thus, the teacher’s age is 25 years.
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