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

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Question: A family has 4 members with an average age of 30 years. If a new member joins with an age of 40 years, what will be the new average age?

Options:

  1. 30
  2. 32
  3. 34
  4. 36

Correct Answer: 34

Solution: 

The total age of the family is 4 * 30 = 120 years. Adding a new member aged 40 gives a new total age of 120 + 40 = 160 years. The new average age is 160 / 5 = 32.

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

Practice Questions

Q1
A family has 4 members with an average age of 30 years. If a new member joins with an age of 40 years, what will be the new average age?
  1. 30
  2. 32
  3. 34
  4. 36

Questions & Step-by-Step Solutions

A family has 4 members with an average age of 30 years. If a new member joins with an age of 40 years, what will be the new average age?
  • Step 1: Find the total age of the current family members. Since there are 4 members with an average age of 30 years, multiply 4 by 30. This gives you 4 * 30 = 120 years.
  • Step 2: Add the age of the new member to the total age. The new member is 40 years old, so add 40 to the total age: 120 + 40 = 160 years.
  • Step 3: Count the total number of family members now. There are 4 original members plus 1 new member, making a total of 5 members.
  • Step 4: Calculate the new average age by dividing the new total age by the new number of members. So, divide 160 by 5: 160 / 5 = 32 years.
  • Average Calculation – Understanding how to calculate the average by dividing the total sum of ages by the number of members.
  • Total Age Calculation – Calculating the total age of the family before and after the new member joins.
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