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A group of friends has an average age of 30 years. If one friend leaves who is 4

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Question: A group of friends has an average age of 30 years. If one friend leaves who is 40 years old, what will be the new average age if the group has 5 members?

Options:

  1. 28
  2. 29
  3. 30
  4. 31

Correct Answer: 28

Solution:

Total age of 5 friends = 5 * 30 = 150. New total = 150 - 40 = 110. New average = 110 / 4 = 27.5.

A group of friends has an average age of 30 years. If one friend leaves who is 4

Practice Questions

Q1
A group of friends has an average age of 30 years. If one friend leaves who is 40 years old, what will be the new average age if the group has 5 members?
  1. 28
  2. 29
  3. 30
  4. 31

Questions & Step-by-Step Solutions

A group of friends has an average age of 30 years. If one friend leaves who is 40 years old, what will be the new average age if the group has 5 members?
  • Step 1: Calculate the total age of the 5 friends using the average age. Since the average age is 30 years, multiply 30 by the number of friends (5). Total age = 30 * 5 = 150 years.
  • Step 2: One friend who is 40 years old leaves the group. Subtract this friend's age from the total age. New total age = 150 - 40 = 110 years.
  • Step 3: Now, there are 4 friends left in the group. To find the new average age, divide the new total age (110) by the number of remaining friends (4). New average age = 110 / 4 = 27.5 years.
  • Average Calculation – Understanding how to calculate the average age by summing total ages and dividing by the number of individuals.
  • Impact of Removing an Individual – Recognizing how the removal of an individual affects the total age and subsequently the average.
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