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In a group of 5 friends, the average age is 25 years. If one friend leaves and t

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Question: In a group of 5 friends, the average age is 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 5 friends = 5 * 25 = 125. Total age of 4 friends = 4 * 26 = 104. Age of friend who left = 125 - 104 = 21.

In a group of 5 friends, the average age is 25 years. If one friend leaves and t

Practice Questions

Q1
In a group of 5 friends, the average age is 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

In a group of 5 friends, the average age is 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 5 friends using the average age. Multiply the average age (25 years) by the number of friends (5). So, 25 * 5 = 125 years.
  • Step 2: Calculate the total age of the remaining 4 friends after one friend leaves. Use the new average age (26 years) and multiply it by the number of remaining friends (4). So, 26 * 4 = 104 years.
  • Step 3: Find the age of the friend who left by subtracting the total age of the 4 friends (104 years) from the total age of the original 5 friends (125 years). So, 125 - 104 = 21 years.
  • Step 4: Conclude that the age of the friend who left is 21 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 from the group.
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