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

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 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 4 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 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 new total age of the remaining 3 friends after one friend leaves. The new average age is 26 years, so multiply 26 by 3 (the number of remaining friends). New total age = 26 * 3 = 78 years.
  • Step 3: Find the age of the friend who left by subtracting the new total age of the 3 friends from the original total age of the 4 friends. Age of friend who left = 100 - 78 = 22 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.
  • Subtraction for Individual Age – Using subtraction to find the age of the individual who left based on the total ages before and after.
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