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In a co-educational school there are 600 students. Average age of boys is 12 years and that of girls is 11 years. If the average age of all the students is 11 years and 9 months, what would be the number of girls ?
  • a)
    150
  • b)
    350
  • c)
    450
  • d)
    250
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In a co-educational school there are 600 students. Average age of boys...
Let there be g girls in the school.
Number of boys = 600 - g
Total age of girls = g x 11
Total age of boys = (600 - g ) x 12
Total age of the school = 600 x 11.75
But that = 11g + 7200 - 12g
So g = 150
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Most Upvoted Answer
In a co-educational school there are 600 students. Average age of boys...
Given Information:
Total number of students = 600
Average age of boys = 12 years
Average age of girls = 11 years
Average age of all students = 11 years and 9 months

Calculating the total age:
Let the number of boys be B and the number of girls be G.
Total age of boys = 12 * B
Total age of girls = 11 * G
Total age of all students = 11.75 * 600

Forming equations:
12B + 11G = 11.75 * 600
12B + 11G = 7050
Since the total number of students is 600, we have B + G = 600

Solving the equations:
12B + 11G = 7050
12B + 12G = 7200 (Multiplying the second equation by 12)
Subtracting the first equation from the second:
G = 150
Therefore, the number of girls in the school is 150.
So, the correct answer is option A) 150.
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In a co-educational school there are 600 students. Average age of boys is 12 years and that of girls is 11 years. If the average age of all the students is 11 years and 9 months, what would be the number of girls ?a)150b)350c)450d)250Correct answer is option 'A'. Can you explain this answer?
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