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A family has 4 members with an average age of 25 years. If the youngest member i

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Question: A family has 4 members with an average age of 25 years. If the youngest member is 10 years old, what will be the average age if the youngest member turns 20?

Options:

  1. 26
  2. 27
  3. 28
  4. 29

Correct Answer: 27

Solution: 

Total age of family = 4 * 25 = 100. New total age after youngest turns 20 = 100 - 10 + 20 = 110. New average = 110 / 4 = 27.5, approximately 27.

A family has 4 members with an average age of 25 years. If the youngest member i

Practice Questions

Q1
A family has 4 members with an average age of 25 years. If the youngest member is 10 years old, what will be the average age if the youngest member turns 20?
  1. 26
  2. 27
  3. 28
  4. 29

Questions & Step-by-Step Solutions

A family has 4 members with an average age of 25 years. If the youngest member is 10 years old, what will be the average age if the youngest member turns 20?
Correct Answer: 27
  • Step 1: Calculate the total age of the family. Since the average age is 25 years and there are 4 members, multiply 25 by 4. Total age = 25 * 4 = 100 years.
  • Step 2: Identify the age of the youngest member, which is 10 years old.
  • Step 3: Calculate the new total age after the youngest member turns 20. Subtract the youngest member's current age (10) from the total age (100) and then add the new age (20). New total age = 100 - 10 + 20 = 110 years.
  • Step 4: Calculate the new average age by dividing the new total age (110) by the number of family members (4). New average age = 110 / 4 = 27.5 years.
  • Step 5: Round the new average age to the nearest whole number, which is approximately 27.
  • Average Age Calculation – Understanding how to calculate the average age based on total age and number of members.
  • Impact of Age Change – Analyzing how the change in age of one family member affects the overall average age.
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