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The average age of 15 students of a class is 15 years. Out of them, the average age of 5 students is 14 years and that of the other 9 students is 16 years. The age of the 15th students is:
- a)11 years
- b)14 years
- c)15 years
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The average age of 15 students of a class is 15 years. Out of them, th...
Age of the 15th student = [15 * 15 - (14 * 5 + 16 * 9)] = (225-214) = 11 years.
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The average age of 15 students of a class is 15 years. Out of them, th...
Given information:
- Total number of students in the class = 15
- Average age of all 15 students = 15 years
- Average age of 5 students = 14 years
- Average age of remaining 9 students = 16 years
To find:
- Age of the 15th student
Solution:
Let's first find the sum of ages of all 15 students using the formula for average:
Average = (Sum of observations) / (Number of observations)
Average age of all 15 students = 15 years
Sum of ages of all 15 students = Average age × Number of students = 15 × 15 = 225 years
Now, let's find the sum of ages of the 5 students whose average age is 14 years:
Average age of 5 students = 14 years
Sum of ages of 5 students = Average age × Number of students = 14 × 5 = 70 years
Similarly, let's find the sum of ages of the 9 students whose average age is 16 years:
Average age of 9 students = 16 years
Sum of ages of 9 students = Average age × Number of students = 16 × 9 = 144 years
We can now find the age of the 15th student by subtracting the sum of ages of the 14 known students from the total sum of ages:
Age of 15th student = Total sum of ages - Sum of ages of 14 known students
Age of 15th student = 225 - (70 + 144)
Age of 15th student = 11 years
Therefore, the age of the 15th student is 11 years (option A).
- Total number of students in the class = 15
- Average age of all 15 students = 15 years
- Average age of 5 students = 14 years
- Average age of remaining 9 students = 16 years
To find:
- Age of the 15th student
Solution:
Let's first find the sum of ages of all 15 students using the formula for average:
Average = (Sum of observations) / (Number of observations)
Average age of all 15 students = 15 years
Sum of ages of all 15 students = Average age × Number of students = 15 × 15 = 225 years
Now, let's find the sum of ages of the 5 students whose average age is 14 years:
Average age of 5 students = 14 years
Sum of ages of 5 students = Average age × Number of students = 14 × 5 = 70 years
Similarly, let's find the sum of ages of the 9 students whose average age is 16 years:
Average age of 9 students = 16 years
Sum of ages of 9 students = Average age × Number of students = 16 × 9 = 144 years
We can now find the age of the 15th student by subtracting the sum of ages of the 14 known students from the total sum of ages:
Age of 15th student = Total sum of ages - Sum of ages of 14 known students
Age of 15th student = 225 - (70 + 144)
Age of 15th student = 11 years
Therefore, the age of the 15th student is 11 years (option A).
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The average age of 15 students of a class is 15 years. Out of them, the average age of 5 students is 14 years and that of the other 9 students is 16 years. The age of the 15thstudents is:a)11 yearsb)14 yearsc)15 yearsd)None of theseCorrect answer is option 'A'. Can you explain this answer?
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The average age of 15 students of a class is 15 years. Out of them, the average age of 5 students is 14 years and that of the other 9 students is 16 years. The age of the 15thstudents is:a)11 yearsb)14 yearsc)15 yearsd)None of theseCorrect answer is option 'A'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The average age of 15 students of a class is 15 years. Out of them, the average age of 5 students is 14 years and that of the other 9 students is 16 years. The age of the 15thstudents is:a)11 yearsb)14 yearsc)15 yearsd)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average age of 15 students of a class is 15 years. Out of them, the average age of 5 students is 14 years and that of the other 9 students is 16 years. The age of the 15thstudents is:a)11 yearsb)14 yearsc)15 yearsd)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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