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In a class, there are 32 boys and 28 girls. The average age of the boys in the class is 14 years and the average age of the girls in the class is 13 years. What is the average age of the whole class? (Rounded off to two digits after decimal) 
  • a)
    13.50
  • b)
    13.53
  • c)
    12.51
  • d)
    13.42
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
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In a class, there are 32 boys and 28 girls. The average age of the boy...
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In a class, there are 32 boys and 28 girls. The average age of the boy...
Given:
- Number of boys in the class = 32
- Number of girls in the class = 28
- Average age of boys = 14 years
- Average age of girls = 13 years

To find:
- Average age of the whole class

Approach:
To find the average age of the whole class, we need to consider the total age of all the students and divide it by the total number of students.

Calculation:
Step 1: Calculate the total age of boys:
Total age of boys = Number of boys * Average age of boys
Total age of boys = 32 * 14 = 448 years

Step 2: Calculate the total age of girls:
Total age of girls = Number of girls * Average age of girls
Total age of girls = 28 * 13 = 364 years

Step 3: Calculate the total age of the whole class:
Total age of the whole class = Total age of boys + Total age of girls
Total age of the whole class = 448 + 364 = 812 years

Step 4: Calculate the total number of students in the class:
Total number of students = Number of boys + Number of girls
Total number of students = 32 + 28 = 60

Step 5: Calculate the average age of the whole class:
Average age of the whole class = Total age of the whole class / Total number of students
Average age of the whole class = 812 / 60 ≈ 13.53 years

Therefore, the average age of the whole class is approximately 13.53 years.

Conclusion:
The average age of the whole class is approximately 13.53 years. Therefore, option B is the correct answer.
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In a class, there are 32 boys and 28 girls. The average age of the boys in the class is 14 years and the average age of the girls in the class is 13 years. What is the average age of the whole class? (Rounded off to two digits after decimal)a)13.50b)13.53c)12.51d)13.42e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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