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The problem is written in Indonesian, and translates to:

"The age ratio between Ani and Budi is 3:4. If their combined age is 21 years, how old is Ani?"

Let's solve this step-by-step.

### Solution:
1. Let Ani's age be \(3x\) and Budi's age be \(4x\), based on the given ratio of \(3:4\).
2. Their combined age is given as 21 years, so:
   \[
   3x + 4x = 21
   \]
3. Simplify this equation:
   \[
   7x = 21
   \]
4. Solve for \(x\):
   \[
   x = \frac{21}{7} = 3
   \]
5. Now, substitute \(x = 3\) to find Ani's age:
   \[
   \text{Ani's age} = 3x = 3 \times 3 = 9 \text{ years}
   \]

### Answer:
Ani is 9 years old.

Would you like further details on any part of this solution or have additional questions?

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Here are some related questions to expand your understanding:

1. If the ratio was \(5:6\) instead, how would their ages change?
2. What would Budi's age be in this case?
3. How does changing the total age affect the individual ages?
4. If Ani's age doubles in 10 years, what would the ratio be then?
5. What if the combined age was 28 years with the same ratio?

**Tip:** Ratios are useful in problems where relative comparisons are given, often helping to simplify complex expressions.

Perbandingan antara usia Ani dan Budi adalah 3:4. Jika jumlah usia mereka adalah 21 tahun, usia Ani adalah ___ tahun.

Learn how to determine Ani's age given the age ratio of 3:4 with Budi and a combined age of 21 years. This example covers algebraic concepts of ratios and proportions suitable for Grades 5-7.

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