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The average age of a class is 21 years. If a student with age 42 years joins the class, then new average age becomes 24 years. How many total students are there in the class?
  • a)
    5
  • b)
    7
  • c)
    8
  • d)
    6
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The average age of a class is 21 years. If a student with age 42 years...
Let the initial number of students be ‘n’
⇒ Sum of ages of n students = 21n
A new student joins with age 42
⇒ Sum of ages of n + 1 students = 24(n + 1) = 24n + 24
⇒ Sum of ages of n + 1 students = Sum of ages of n students + 42
⇒ 24n + 24 = 21n + 42
⇒ 3n = 18
⇒ n = 18 / 3 = 6
∴ Total Students = 7
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Most Upvoted Answer
The average age of a class is 21 years. If a student with age 42 years...
Given:
- Average age of the class = 21 years
- Age of the new student joining the class = 42 years
- New average age after the student joins = 24 years

Let the number of students in the class be 'n'.
- Sum of ages of all the students in the class before the new student joins = 21n
- Sum of ages of all the students in the class after the new student joins = 24(n+1)

We can set up the equation:
21n + 42 = 24(n+1)

Simplifying the equation:
21n + 42 = 24n + 24
21n - 24n = 24 - 42
-3n = -18
n = (-18)/(-3) = 6

Therefore, the total number of students in the class is 6.

Answer: Option D) 6
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The average age of a class is 21 years. If a student with age 42 years joins the class, then new average age becomes 24 years. How many total students are there in the class?a)5b)7c)8d)6Correct answer is option 'B'. Can you explain this answer?
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