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In a college, the average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ratio of number of boys to the number of girls in the class is
  • a)
    3:5
  • b)
    2:3
  • c)
    2:1
  • d)
    2:7
  • e)
    3:2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In a college, the average age of students of a class is 15.8 years. Th...
Number of boys = x
Number of boys = y
(x*16.4 + y*15.4)/x + y = 15.8
16.4x + 15.4y = 15.8x + 15.8y
0.6x = 0.4y
x:y = 2:3
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Most Upvoted Answer
In a college, the average age of students of a class is 15.8 years. Th...
Let no. of boys be x and no. of girls be y
so,
16.4x+15.4y=15.8(x+y)
0.6x=0.4y
x/y=2/3
2:3
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Community Answer
In a college, the average age of students of a class is 15.8 years. Th...
Solution:
Let's assume the number of boys in the class is 'b' and the number of girls is 'g'.

The average age of students in the class is given as 15.8 years. This means that the sum of all the ages divided by the total number of students is equal to 15.8. Mathematically, we can write this as:

(b*16.4 + g*15.4)/(b + g) = 15.8

Finding the Ratio of Boys to Girls:
To find the ratio of boys to girls, we need to determine the value of 'b' in terms of 'g' or 'g' in terms of 'b'. We can do this by rearranging the equation above.

First, let's simplify the equation:

16.4b + 15.4g = 15.8(b + g)
16.4b + 15.4g = 15.8b + 15.8g
16.4b - 15.8b = 15.8g - 15.4g
0.6b = 0.4g
b = (0.4/0.6)g
b = (2/3)g

Therefore, the number of boys is (2/3) times the number of girls.

Ratio of Boys to Girls:
The ratio of boys to girls can be written as 2:3. Therefore, option B, 2:3, is the correct answer.
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In a college, the average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ratio of number of boys to the number of girls in the class isa)3:5b)2:3c)2:1d)2:7e)3:2Correct answer is option 'B'. Can you explain this answer?
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