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A family has three children with ages 5, 10, and 15. If they have another child,

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Question: A family has three children with ages 5, 10, and 15. If they have another child, what age must the new child be to maintain an average age of 10? (2023)

Options:

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

Correct Answer: 5

Exam Year: 2023

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 they have another child,

Practice Questions

Q1
A family has three children with ages 5, 10, and 15. If they have another child, what age must the new child be to maintain an average age of 10? (2023)
  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 they have another child, what age must the new child be to maintain an average age of 10? (2023)
  • Step 1: Calculate the current total age of the three children. Add their ages: 5 + 10 + 15.
  • Step 2: Find the total age needed for four children to have an average age of 10. Multiply the average age (10) by the number of children (4).
  • Step 3: Subtract the current total age from the total age needed to find the age of the new child.
  • Average Calculation – Understanding how to calculate the average age by summing the ages and dividing by the number of children.
  • Total Age Requirement – Recognizing that to maintain a specific average, the total age must meet a certain requirement based on the number of children.
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