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In a group of 4 friends, the average age is 25 years. If one friend leaves and t

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Question: In a group of 4 friends, the average age is 25 years. If one friend leaves and the average age becomes 27 years, what is the age of the friend who left?

Options:

  1. 24
  2. 26
  3. 28
  4. 30

Correct Answer: 28

Solution:

Total age of 4 friends = 4 * 25 = 100. Total age of 3 friends = 3 * 27 = 81. Therefore, the age of the friend who left = 100 - 81 = 19.

In a group of 4 friends, the average age is 25 years. If one friend leaves and t

Practice Questions

Q1
In a group of 4 friends, the average age is 25 years. If one friend leaves and the average age becomes 27 years, what is the age of the friend who left?
  1. 24
  2. 26
  3. 28
  4. 30

Questions & Step-by-Step Solutions

In a group of 4 friends, the average age is 25 years. If one friend leaves and the average age becomes 27 years, what is the age of the friend who left?
  • Step 1: Calculate the total age of the 4 friends. Since the average age is 25 years, multiply 25 by 4 (the number of friends). Total age = 25 * 4 = 100 years.
  • Step 2: Calculate the total age of the remaining 3 friends after one friend leaves. The new average age is 27 years, so multiply 27 by 3 (the number of remaining friends). Total age of 3 friends = 27 * 3 = 81 years.
  • Step 3: Find the age of the friend who left. Subtract the total age of the 3 friends from the total age of the 4 friends. Age of the friend who left = 100 - 81 = 19 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 relate that to the age of the member who left.
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