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**a. Hallar la relación entre las edades de dos niños 12 y 18 años.**
**b. Cite tres pares de números que están en la misma relación.**

Let's start with part **a**:

To find the relationship between the ages of two children who are 12 and 18 years old, we can express this as a ratio. The ratio of their ages is:

\[
\frac{12}{18} = \frac{2}{3}
\]

Thus, the relationship between the ages of the two children is \( 2:3 \). This means for every 2 years the younger child has, the older child has 3 years.

Now, for part **b**, you need to cite three pairs of numbers that have the same ratio, \( 2:3 \). Some examples include:

1. \( (4, 6) \) because \( \frac{4}{6} = \frac{2}{3} \)
2. \( (6, 9) \) because \( \frac{6}{9} = \frac{2}{3} \)
3. \( (8, 12) \) because \( \frac{8}{12} = \frac{2}{3} \)

Would you like any further explanations or details?

### Five Related Questions:
1. How do you simplify a ratio like \( \frac{12}{18} \) step by step?
2. Can a ratio be used to compare quantities other than ages?
3. How can you find more pairs of numbers in the same ratio \( 2:3 \)?
4. What is the difference between a ratio and a proportion?
5. How can you represent this ratio graphically?

### Tip:
When simplifying ratios, divide both terms by their greatest common divisor (GCD). For \( 12 \) and \( 18 \), the GCD is 6, so you get \( 2:3 \).

Hallar la relación entre las edades de dos niños 12 y 18 años. Cite tres pares de números que están en la misma relación.

Discover how to find the ratio between two children's ages, 12 and 18 years, and explore three number pairs with the same ratio. A step-by-step solution with key ratio concepts for students in Grades 5-6.

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