A family has three children with ages 10, 12, and 14. If they have another child

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Question: A family has three children with ages 10, 12, and 14. If they have another child, what age must the new child be for the average age of the family to be 12?

Options:

Correct Answer: 8

Solution:

Let the age of the new child be x. Then, (10 + 12 + 14 + x) / 4 = 12. Solving gives x = 8.

A family has three children with ages 10, 12, and 14. If they have another child

Practice Questions

A family has three children with ages 10, 12, and 14. If they have another child, what age must the new child be for the average age of the family to be 12?

Questions & Step-by-Step Solutions

A family has three children with ages 10, 12, and 14. If they have another child, what age must the new child be for the average age of the family to be 12?

Step 1: Add the ages of the three children together. 10 + 12 + 14 = 36.
Step 2: Let the age of the new child be x.
Step 3: Now, we have a total of 4 children (the 3 existing ones plus the new child).
Step 4: To find the average age of the family, we need to divide the total age by the number of children. The formula for average age is (total age) / (number of children).
Step 5: Set up the equation for the average age to be 12: (36 + x) / 4 = 12.
Step 6: Multiply both sides of the equation by 4 to eliminate the fraction: 36 + x = 48.
Step 7: Subtract 36 from both sides to solve for x: x = 48 - 36.
Step 8: Calculate the value of x: x = 12.

Average Calculation – Understanding how to calculate the average age of a group by summing the ages and dividing by the number of individuals.
Algebraic Manipulation – Using algebra to solve for an unknown variable in an equation.

A family has three children with ages 10, 12, and 14. If they have another child

What’s inside this PDF?

A family has three children with ages 10, 12, and 14. If they have another child

Practice Questions

Questions & Step-by-Step Solutions

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