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A family has 4 members with an average age of 30 years. If a new member joins th

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Question: A family has 4 members with an average age of 30 years. If a new member joins the family, making the average age 32 years, what is the age of the new member?

Options:

  1. 32
  2. 34
  3. 36
  4. 38

Correct Answer: 36

Solution: 

Total age of 4 members = 4 * 30 = 120. Total age of 5 members = 5 * 32 = 160. Age of new member = 160 - 120 = 40.

A family has 4 members with an average age of 30 years. If a new member joins th

Practice Questions

Q1
A family has 4 members with an average age of 30 years. If a new member joins the family, making the average age 32 years, what is the age of the new member?
  1. 32
  2. 34
  3. 36
  4. 38

Questions & Step-by-Step Solutions

A family has 4 members with an average age of 30 years. If a new member joins the family, making the average age 32 years, what is the age of the new member?
  • Step 1: Calculate the total age of the 4 family members. Since the average age is 30 years, multiply 30 by 4 (the number of members). This gives you 120 years.
  • Step 2: Calculate the total age of the 5 family members after the new member joins. Since the new average age is 32 years, multiply 32 by 5 (the new number of members). This gives you 160 years.
  • Step 3: Find the age of the new member by subtracting the total age of the original 4 members from the total age of the 5 members. So, subtract 120 from 160, which equals 40 years.
  • Average Calculation – Understanding how to calculate the average age and how it changes with the addition of a new member.
  • Total Age Calculation – Calculating the total age of family members based on the average age.
  • Difference Calculation – Finding the age of the new member by determining the difference in total ages before and after the new member joins.
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