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A group of friends has an average age of 30 years. If a new friend aged 40 joins

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Question: A group of friends has an average age of 30 years. If a new friend aged 40 joins, what will be the new average age if there were originally 5 friends?

Options:

  1. 31
  2. 32
  3. 33
  4. 34

Correct Answer: 32

Solution: 

Total age = 5 * 30 = 150. New total = 150 + 40 = 190. New average = 190 / 6 = 31.67.

A group of friends has an average age of 30 years. If a new friend aged 40 joins

Practice Questions

Q1
A group of friends has an average age of 30 years. If a new friend aged 40 joins, what will be the new average age if there were originally 5 friends?
  1. 31
  2. 32
  3. 33
  4. 34

Questions & Step-by-Step Solutions

A group of friends has an average age of 30 years. If a new friend aged 40 joins, what will be the new average age if there were originally 5 friends?
  • Step 1: Calculate the total age of the original group of friends. Since there are 5 friends and their average age is 30, multiply 5 by 30. Total age = 5 * 30 = 150.
  • Step 2: Add the age of the new friend who is 40 years old to the total age. New total age = 150 + 40 = 190.
  • Step 3: Count the new total number of friends. The original 5 friends plus the new friend makes 6 friends.
  • Step 4: Calculate the new average age by dividing the new total age by the new number of friends. New average age = 190 / 6.
  • Step 5: Perform the division to find the new average age. New average age = 31.67.
  • Average Calculation – Understanding how to calculate the average by summing total ages and dividing by the number of individuals.
  • Impact of Adding a New Member – Recognizing how the addition of a new member affects the overall average.
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