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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 = 32
- Number of girls = 28
- Average age of boys = 14 years
- Average age of girls = 13 years

To find: Average age of the whole class

Approach:
1. Calculate the total age of boys and girls separately.
2. Calculate the total number of students in the class.
3. Calculate the average age of the whole class using the formula:
Average age = (Total age) / (Total number of students)

Calculation:
1. Total age of boys = Number of boys * Average age of boys = 32 * 14 = 448 years
2. Total age of girls = Number of girls * Average age of girls = 28 * 13 = 364 years
3. Total number of students = Number of boys + Number of girls = 32 + 28 = 60
4. Total age of the whole class = Total age of boys + Total age of girls = 448 + 364 = 812 years
5. Average age of the whole class = Total age of the whole class / Total number of students = 812 / 60 = 13.53 years

Answer:
The average age of the whole class is 13.53 years, rounded off to two digits after the decimal point. Therefore, option B is the correct answer.
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Community Answer
In a class, there are 32 boys and 28 girls. The average age of the boy...
Total students= 32+ 28 =60
sum of ages of all boys= 32×14
sum of ages of all girls= 28×13
total sum of ages of students in class = 32×14+28×13 =812
average age of class= 812÷60= 13.53
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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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