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Average age of girls in a class is 16 years. If the average of the boys in class is also added, the average becomes 15.5 years. If there were 20 boys in the class with average age 15 years, how many girls were there in the class?
  • a)
    15
  • b)
    40
  • c)
    20
  • d)
    25
  • e)
    30
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Average age of girls in a class is 16 years. If the average of the boy...
C) 20
Explanation: Let x girls in the class, so 16x + 20*15 = 15.5 (x+20)
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Most Upvoted Answer
Average age of girls in a class is 16 years. If the average of the boy...
Given:
- Average age of girls in a class = 16 years
- Average age of boys in the class = 15.5 years
- Number of boys in the class = 20
- Average age of boys = 15 years

To find:
- Number of girls in the class

Solution:
Let the number of girls in the class be 'g'
Total number of students = g + 20
Total age of girls = 16g
Total age of boys = 15*20 = 300

Total age of all students = 16g + 300
Average age of all students = (16g + 300)/(g + 20) = 15.5

Now, we can solve for 'g'

16g + 300 = 15.5(g + 20)
16g + 300 = 15.5g + 310
0.5g = 10
g = 20

Therefore, there were 20 girls in the class.

Answer: Option C) 20
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Community Answer
Average age of girls in a class is 16 years. If the average of the boy...
C) 20
Explanation: Let x girls in the class, so 16x + 20*15 = 15.5 (x+20)
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Average age of girls in a class is 16 years. If the average of the boys in class is also added, the average becomes 15.5 years. If there were 20 boys in the class with average age 15 years, how many girls were there in the class?a)15b)40c)20d)25e)30Correct answer is option 'C'. Can you explain this answer?
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