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The question asks about the present age of Anitha, where the present age of Anitha and Anjali is in the ratio 3:4. It also states that 5 years ago, their ages were in the ratio 2:3. We are required to find the present age of Anitha.

### Step-by-step Solution:

1. Let the present age of Anitha be \( 3x \) and the present age of Anjali be \( 4x \), since their ages are in the ratio 3:4.

2. Five years ago, Anitha’s age was \( 3x - 5 \), and Anjali’s age was \( 4x - 5 \).

3. According to the problem, the ratio of their ages 5 years ago was 2:3, so we can set up the equation:
   \[
   \frac{3x - 5}{4x - 5} = \frac{2}{3}
   \]

4. Cross-multiply to eliminate the fractions:
   \[
   3(3x - 5) = 2(4x - 5)
   \]
   Expanding both sides:
   \[
   9x - 15 = 8x - 10
   \]

5. Solve for \( x \):
   \[
   9x - 8x = -10 + 15
   \]
   \[
   x = 5
   \]

6. Now that we know \( x = 5 \), we can find Anitha’s present age:
   \[
   \text{Anitha's age} = 3x = 3(5) = 15
   \]

### Conclusion:
The present age of Anitha is **15 years**.

Would you like any further details or clarifications?

Here are five related questions you can explore:
1. What is Anjali's current age?
2. How would the solution change if the ratio 5 years ago was different?
3. Can this problem be solved graphically?
4. How does this method generalize to other age-related problems?
5. What if Anitha’s age were given explicitly, and you had to find Anjali’s?

**Tip:** In word problems involving ratios and ages, setting variables and forming equations based on the given relationships is a key strategy to solve them efficiently.

The present age of Anitha and Anjali is in the ratio 3:4. Five years back, the ratio of their ages was 2:3. What is the present age of Anitha?

Learn how to solve an age-related problem using ratios. The problem involves finding Anitha's present age, given the ratio of her age to Anjali's. Detailed step-by-step solution included for Grades 6-8.

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