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Let's work on the problem:

The problem states:

- Reza and Gio's current ages are in a ratio of 6:5, and neither of their ages exceeds 42 years.
- The question asks to determine the ratio of Reza and Gio's ages in 8 years, based on the given options.

Let:
- \( R \) be Reza's current age.
- \( G \) be Gio's current age.

From the given ratio, we know:
\[
\frac{R}{G} = \frac{6}{5} \quad \text{or} \quad R = \frac{6}{5}G
\]
Since their ages are natural numbers and do not exceed 42, we can try to find their exact current ages.

First, let's assume \( G = 35 \), because multiplying by 5 should give a natural number for Reza:
\[
R = \frac{6}{5} \times 35 = 42
\]
Thus, Reza is 42 years old and Gio is 35 years old.

Now, after 8 years, their ages will be:
\[
R + 8 = 42 + 8 = 50
\]
\[
G + 8 = 35 + 8 = 43
\]
The ratio of their ages in 8 years will be:
\[
\frac{50}{43}
\]
This simplifies to the ratio closest to option E:
\[
\boxed{24:23}
\]

Would you like further details or have any other questions? Here are some related questions for further understanding:

1. How can we verify the ratio for other possible values of \( G \)?
2. Why does the assumption of \( G = 35 \) work well in this case?
3. Can the problem be solved algebraically without guessing the ages?
4. What would happen if Gio’s current age were slightly different?
5. How can ratios be scaled in general to find future ages?

**Tip:** Always check that the original ratio holds with both integers before concluding the solution, especially when working with natural numbers and ratios.

Diketahui usia Reza dan Gio saat ini masing-masing tidak lebih dari 42 tahun dengan perbandingan usia keduanya adalah 6:5. Jika usia keduanya selalu dinyatakan dalam bilangan asli, manakah di antara pilihan berikut yang mungkin merupakan perbandingan usia Reza dan Gio pada 8 tahun yang akan datang?

Learn how to determine the future age ratio of Reza and Gio based on their current age ratio of 6:5. This problem involves ratio and algebra concepts, suitable for Grades 8-10 students.

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