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In a group of 6 friends, the average age is 22 years. If one friend leaves and t

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Question: In a group of 6 friends, the average age is 22 years. If one friend leaves and the average age becomes 23 years, what is the age of the friend who left?

Options:

  1. 20
  2. 22
  3. 24
  4. 26

Correct Answer: 24

Solution: 

Total age of 6 friends = 6 * 22 = 132. Total age of 5 friends = 5 * 23 = 115. Age of friend who left = 132 - 115 = 17.

In a group of 6 friends, the average age is 22 years. If one friend leaves and t

Practice Questions

Q1
In a group of 6 friends, the average age is 22 years. If one friend leaves and the average age becomes 23 years, what is the age of the friend who left?
  1. 20
  2. 22
  3. 24
  4. 26

Questions & Step-by-Step Solutions

In a group of 6 friends, the average age is 22 years. If one friend leaves and the average age becomes 23 years, what is the age of the friend who left?
Correct Answer: 17
  • Step 1: Calculate the total age of the 6 friends by multiplying the average age by the number of friends. Total age = 6 friends * 22 years = 132 years.
  • Step 2: Calculate the total age of the remaining 5 friends after one friend leaves. The new average age is 23 years, so Total age = 5 friends * 23 years = 115 years.
  • Step 3: Find the age of the friend who left by subtracting the total age of the remaining friends from the total age of the original group. Age of friend who left = 132 years - 115 years = 17 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 changes when one member is removed and how to find the age of that member.
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