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A family has three children with ages 5, 10, and 15. If a new child is born, wha

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Question: A family has three children with ages 5, 10, and 15. If a new child is born, what age must the new child be to maintain an average age of 10?

Options:

  1. 5
  2. 10
  3. 15
  4. 20

Correct Answer: 5

Solution: 

Current total age = 5 + 10 + 15 = 30. To maintain an average of 10 with 4 children, total age must be 40. Therefore, the new child\'s age must be 40 - 30 = 10.

A family has three children with ages 5, 10, and 15. If a new child is born, wha

Practice Questions

Q1
A family has three children with ages 5, 10, and 15. If a new child is born, what age must the new child be to maintain an average age of 10?
  1. 5
  2. 10
  3. 15
  4. 20

Questions & Step-by-Step Solutions

A family has three children with ages 5, 10, and 15. If a new child is born, what age must the new child be to maintain an average age of 10?
  • Step 1: Add the ages of the current three children together. The ages are 5, 10, and 15.
  • Step 2: Calculate the total age: 5 + 10 + 15 = 30.
  • Step 3: Determine how many children there will be after the new child is born. There will be 4 children in total.
  • Step 4: To find the total age needed for an average of 10 with 4 children, multiply the average age (10) by the number of children (4). So, 10 * 4 = 40.
  • Step 5: Subtract the current total age (30) from the total age needed (40) to find the age of the new child. So, 40 - 30 = 10.
  • Step 6: Conclude that the new child must be 10 years old to maintain an average age of 10.
  • Average Calculation – Understanding how to calculate the average age based on the total age and the number of children.
  • Total Age Requirement – Recognizing the need to adjust the total age to achieve a desired average with the addition of a new child.
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