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To determine the correct equation that models the combined age of the three children, let's define the ages based on the information provided.

1. Ahmed's age = \( n \) years.
2. Maria's age = \( 2n \) years (since Maria is twice as old as Ahmed).
3. Gia's age = \( 2n + 3 \) years (since Gia is 3 years older than Maria).

The combined age of Ahmed, Maria, and Gia is 38 years. Therefore, the equation can be written as:

\[ n + 2n + (2n + 3) = 38 \]

Simplify the equation:

\[ n + 2n + 2n + 3 = 38 \]
\[ 5n + 3 = 38 \]

This matches one of the given options. Therefore, the correct equation is:

\[ 5n + 3 = 38 \]

Do you want any more details or have any questions?

Here are five related questions you might ask:
1. How do you solve for \( n \) in the equation \( 5n + 3 = 38 \)?
2. How do you check if your solution is correct?
3. Can you form a similar equation if the combined age was different?
4. What are other methods to solve linear equations?
5. How would the equation change if Gia were 5 years older than Maria instead?

**Tip:** Always translate word problems into algebraic equations carefully, ensuring that each piece of information is correctly represented mathematically.

Learn how to solve a linear equation involving the ages of Ahmed, Maria, and Gia. Understand the relationship between their ages and how to translate word problems into algebraic equations. Suitable for students in Grades 7-9.

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