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The average age of 30 students in a class is 12 years. The average age of a group of 5 of the students is 10 years and that of another group of 5 of them is 14 years. What is the average age of the remaining students?
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The average age of 30 students in a class is 12 years. The average age...
Analysis:
To find the average age of the remaining students, we can first calculate the total age of all 30 students in the class and then subtract the total age of the known groups of students. Finally, we divide this remaining total age by the number of remaining students to get the average age.
Calculations:
Given:
- Total number of students = 30
- Average age of all 30 students = 12 years
Total age of all 30 students = 30 * 12 = 360 years
Now, we know the average age of the first group of 5 students is 10 years and the average age of the second group of 5 students is 14 years.
Total age of the first group of 5 students = 5 * 10 = 50 years
Total age of the second group of 5 students = 5 * 14 = 70 years
Total age of the known groups of students = 50 + 70 = 120 years
Remaining total age = Total age of all 30 students - Total age of the known groups of students
Remaining total age = 360 - 120 = 240 years
Now, the number of remaining students = Total number of students - Number of students in known groups
Number of remaining students = 30 - 10 = 20 students
Therefore, the average age of the remaining students = Remaining total age / Number of remaining students
Average age of the remaining students = 240 / 20 = 12 years
Conclusion:
The average age of the remaining students in the class is 12 years.
To find the average age of the remaining students, we can first calculate the total age of all 30 students in the class and then subtract the total age of the known groups of students. Finally, we divide this remaining total age by the number of remaining students to get the average age.
Calculations:
Given:
- Total number of students = 30
- Average age of all 30 students = 12 years
Total age of all 30 students = 30 * 12 = 360 years
Now, we know the average age of the first group of 5 students is 10 years and the average age of the second group of 5 students is 14 years.
Total age of the first group of 5 students = 5 * 10 = 50 years
Total age of the second group of 5 students = 5 * 14 = 70 years
Total age of the known groups of students = 50 + 70 = 120 years
Remaining total age = Total age of all 30 students - Total age of the known groups of students
Remaining total age = 360 - 120 = 240 years
Now, the number of remaining students = Total number of students - Number of students in known groups
Number of remaining students = 30 - 10 = 20 students
Therefore, the average age of the remaining students = Remaining total age / Number of remaining students
Average age of the remaining students = 240 / 20 = 12 years
Conclusion:
The average age of the remaining students in the class is 12 years.
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The average age of 30 students in a class is 12 years. The average age of a group of 5 of the students is 10 years and that of another group of 5 of them is 14 years. What is the average age of the remaining students?
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The average age of 30 students in a class is 12 years. The average age of a group of 5 of the students is 10 years and that of another group of 5 of them is 14 years. What is the average age of the remaining students? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about The average age of 30 students in a class is 12 years. The average age of a group of 5 of the students is 10 years and that of another group of 5 of them is 14 years. What is the average age of the remaining students? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average age of 30 students in a class is 12 years. The average age of a group of 5 of the students is 10 years and that of another group of 5 of them is 14 years. What is the average age of the remaining students?.
The average age of 30 students in a class is 12 years. The average age of a group of 5 of the students is 10 years and that of another group of 5 of them is 14 years. What is the average age of the remaining students? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about The average age of 30 students in a class is 12 years. The average age of a group of 5 of the students is 10 years and that of another group of 5 of them is 14 years. What is the average age of the remaining students? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average age of 30 students in a class is 12 years. The average age of a group of 5 of the students is 10 years and that of another group of 5 of them is 14 years. What is the average age of the remaining students?.
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