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The average age of the class is 15 years. The average age of boys and girls is 13 and 16 years respectively. If the number of girls in the class is 18 then find the number of boys in the class.
  • a)
    6
  • b)
    8
  • c)
    9
  • d)
    12
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
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The average age of the class is 15 years. The average age of boys and ...
Answer – c) 9 Explanation : B*13 + 18*16 = 15*(18 + B)
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The average age of the class is 15 years. The average age of boys and ...
Given information:
- The average age of the class is 15 years.
- The average age of boys is 13 years.
- The average age of girls is 16 years.
- The number of girls in the class is 18.

To find: The number of boys in the class.

Let's assume there are 'x' boys in the class.

Calculating the sum of ages:
- Total sum of ages in the class = Average age * Total number of students
- Total sum of ages in the class = 15 * (number of boys + number of girls)

Calculating the sum of ages for boys:
- Sum of ages for boys = Average age of boys * Number of boys
- Sum of ages for boys = 13 * x

Calculating the sum of ages for girls:
- Sum of ages for girls = Average age of girls * Number of girls
- Sum of ages for girls = 16 * 18

Since the total sum of ages in the class is equal to the sum of ages for boys plus the sum of ages for girls, we can write the equation as:
15 * (x + 18) = 13 * x + 16 * 18

Simplifying the equation:
15x + 270 = 13x + 288
15x - 13x = 288 - 270
2x = 18
x = 9

Therefore, the number of boys in the class is 9. So, the correct answer is option C.
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The average age of the class is 15 years. The average age of boys and girls is 13 and 16 years respectively. If the number of girls in the class is 18 then find the number of boys in the class.a)6b)8c)9d)12e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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