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A group of 8 friends has an average age of 25 years. If one friend leaves and th

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Question: A group of 8 friends has an average age of 25 years. If one friend leaves and the average age becomes 26 years, what is the age of the friend who left?

Options:

  1. 24
  2. 25
  3. 26
  4. 27

Correct Answer: 27

Solution: 

Total age of 8 friends = 8 * 25 = 200. New total age for 7 friends = 7 * 26 = 182. Age of friend who left = 200 - 182 = 18.

A group of 8 friends has an average age of 25 years. If one friend leaves and th

Practice Questions

Q1
A group of 8 friends has an average age of 25 years. If one friend leaves and the average age becomes 26 years, what is the age of the friend who left?
  1. 24
  2. 25
  3. 26
  4. 27

Questions & Step-by-Step Solutions

A group of 8 friends has an average age of 25 years. If one friend leaves and the average age becomes 26 years, what is the age of the friend who left?
  • Step 1: Calculate the total age of the 8 friends. Since the average age is 25 years, multiply 25 by 8. Total age = 25 * 8 = 200 years.
  • Step 2: Calculate the new total age of the remaining 7 friends after one friend leaves. The new average age is 26 years, so multiply 26 by 7. New total age = 26 * 7 = 182 years.
  • Step 3: Find the age of the friend who left by subtracting the new total age from the original total age. Age of friend who left = 200 - 182 = 18 years.
  • Average Calculation – Understanding how to calculate the average age and how it changes when a member leaves the group.
  • Total Age Calculation – Calculating the total age of a group based on the average and the number of members.
  • Difference in Averages – Recognizing how the average age shifts when one member is removed from the group.
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