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The average age of 35 students in a class is 16 years. Out of these students, the average age of 21 students is 14 years. The average age of remaining students is
  • a)
    15 years
  • b)
    17 years
  • c)
    20 years
  • d)
    19 years
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The average age of 35 students in a class is 16 years. Out of these st...
Total sum of ages of 35 students = 35 × 16
Total sum of ages of 21 students = 21 × 14
The average of remaining students =  = 19 years
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Most Upvoted Answer
The average age of 35 students in a class is 16 years. Out of these st...
Given information:
- Total number of students = 35
- Average age of 35 students = 16 years
- Average age of 21 students = 14 years

To find:
- Average age of remaining students

Solution:
Step 1: Find the total age of 35 students
Total age = Average age * Number of students
= 16 * 35
= 560

Step 2: Find the total age of 21 students
Total age of 21 students = Average age of 21 students * Number of students
= 14 * 21
= 294

Step 3: Find the total age of remaining students
Total age of remaining students = Total age - Total age of 21 students
= 560 - 294
= 266

Step 4: Find the average age of remaining students
Average age of remaining students = Total age of remaining students / Number of remaining students
= 266 / (35 - 21)
= 266 / 14
= 19

Therefore, the average age of remaining students is 19 years (option D).
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The average age of 35 students in a class is 16 years. Out of these students, the average age of 21 students is 14 years. The average age of remaining students isa)15 yearsb)17 yearsc)20 yearsd)19 yearsCorrect answer is option 'D'. Can you explain this answer?
Question Description
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