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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 the number of boys to the number of girls in the class is:
- a)1 : 4
- b)2 : 3
- c)3 : 4
- d)4 : 2
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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The average age of students of a class is 15.8 years. The average age ...
Answer – B (2 : 3) Explanation – Let the ratio be k:1 Then, k x 16.4 + 1 x 15.4 = (k + 1) x 15.8 (16.4 – 15.8) k = (15.8 – 15.4) k=2/3
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The average age of students of a class is 15.8 years. The average age ...
Given:
- Average age of students = 15.8 years
- Average age of boys = 16.4 years
- Average age of girls = 15.4 years
To find:
The ratio of the number of boys to the number of girls in the class.
Formula:
Average = Sum of all values / Number of values
Let's assume:
- Number of boys = B
- Number of girls = G
Sum of ages of boys = Average age of boys * Number of boys
Sum of ages of girls = Average age of girls * Number of girls
We can write two equations based on the given information:
Equation 1: (Sum of ages of boys + Sum of ages of girls) / (Number of boys + Number of girls) = Average age of students
Equation 2: Sum of ages of boys / Number of boys = Average age of boys
Equation 3: Sum of ages of girls / Number of girls = Average age of girls
Solving these equations will give us the values of B and G.
Calculation:
From Equation 2, we have:
Sum of ages of boys = Average age of boys * Number of boys
Sum of ages of boys = 16.4 * B
From Equation 3, we have:
Sum of ages of girls = Average age of girls * Number of girls
Sum of ages of girls = 15.4 * G
Substituting these values in Equation 1, we get:
(16.4 * B + 15.4 * G) / (B + G) = 15.8
Simplifying the equation:
16.4 * B + 15.4 * G = 15.8 * (B + G)
16.4 * B + 15.4 * G = 15.8 * B + 15.8 * G
16.4 * B - 15.8 * B = 15.8 * G - 15.4 * G
0.6 * B = 0.4 * G
6B = 4G
B/G = 4/6
B/G = 2/3
Therefore, the ratio of the number of boys to the number of girls in the class is 2:3, which corresponds to option B.
- Average age of students = 15.8 years
- Average age of boys = 16.4 years
- Average age of girls = 15.4 years
To find:
The ratio of the number of boys to the number of girls in the class.
Formula:
Average = Sum of all values / Number of values
Let's assume:
- Number of boys = B
- Number of girls = G
Sum of ages of boys = Average age of boys * Number of boys
Sum of ages of girls = Average age of girls * Number of girls
We can write two equations based on the given information:
Equation 1: (Sum of ages of boys + Sum of ages of girls) / (Number of boys + Number of girls) = Average age of students
Equation 2: Sum of ages of boys / Number of boys = Average age of boys
Equation 3: Sum of ages of girls / Number of girls = Average age of girls
Solving these equations will give us the values of B and G.
Calculation:
From Equation 2, we have:
Sum of ages of boys = Average age of boys * Number of boys
Sum of ages of boys = 16.4 * B
From Equation 3, we have:
Sum of ages of girls = Average age of girls * Number of girls
Sum of ages of girls = 15.4 * G
Substituting these values in Equation 1, we get:
(16.4 * B + 15.4 * G) / (B + G) = 15.8
Simplifying the equation:
16.4 * B + 15.4 * G = 15.8 * (B + G)
16.4 * B + 15.4 * G = 15.8 * B + 15.8 * G
16.4 * B - 15.8 * B = 15.8 * G - 15.4 * G
0.6 * B = 0.4 * G
6B = 4G
B/G = 4/6
B/G = 2/3
Therefore, the ratio of the number of boys to the number of girls in the class is 2:3, which corresponds to option B.
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The average age of students of a class is 15.8 years. The average age ...
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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 the number of boys to the number of girls in the class is:a)1 : 4b)2 : 3c)3 : 4d)4 : 2e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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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 the number of boys to the number of girls in the class is:a)1 : 4b)2 : 3c)3 : 4d)4 : 2e)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 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 the number of boys to the number of girls in the class is:a)1 : 4b)2 : 3c)3 : 4d)4 : 2e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 the number of boys to the number of girls in the class is:a)1 : 4b)2 : 3c)3 : 4d)4 : 2e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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