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A group of 4 friends has an average age of 25 years. If one friend leaves and th

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Question: A group of 4 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: 26

Solution:

Total age of 4 friends = 4 * 25 = 100. New total age for 3 friends = 3 * 26 = 78. Age of friend who left = 100 - 78 = 22.

A group of 4 friends has an average age of 25 years. If one friend leaves and th

Practice Questions

Q1
A group of 4 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 4 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 4 friends using the average age. Multiply the average age (25 years) by the number of friends (4). So, 25 * 4 = 100 years.
  • Step 2: Calculate the new total age of the remaining 3 friends after one friend leaves. Multiply the new average age (26 years) by the number of remaining friends (3). So, 26 * 3 = 78 years.
  • Step 3: Find the age of the friend who left by subtracting the new total age of the 3 friends (78 years) from the original total age of the 4 friends (100 years). So, 100 - 78 = 22 years.
  • Step 4: Conclude that the age of the friend who left is 22 years.
  • Average Calculation – Understanding how to calculate the average age and how it changes when one member leaves the group.
  • Total Age Calculation – Calculating the total age of a group based on the average and the number of members.
  • Subtraction for Individual Age – Using subtraction to find the age of the individual who left based on the change in total age.
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