Multiple choice

The average of the students in a class is 30 years. If two students whose age was 21years and 23 years are absent from the class, the average of those present goes up by 0.5. How many students were there in the class originally? एक कक्षा में छात्रों की औसत 30 साल है। यदि दो छात्रों की उम्र 21 वर्ष और 23 साल कक्षा से अनुपस्थित है, तो उन उपस्थित छात्रों का औसत 0.5 ऊपर चला जाता है। मूल रूप से कक्षा में कितने छात्र थे?

  1. 29

  2. 34

  3. 24

  4. 31

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let n be original students. Total age = 30n. After removing two students (ages 21, 23), total = 30n - 44 and students = n - 2. New average is 30.5, so (30n-44)/(n-2) = 30.5. Solving: 30n-44 = 30.5n - 61, so 17 = 0.5n, giving n = 34.