Ramya has 52 marbles. If Janani had 9 more than what she now has, she would have half as many as Ramya. How many marbles are there with Janani now?

Options

A. 17
B. 15
C. 26
D. 35

Explanation

To solve the problem step by step, we can follow these instructions:

1. **Understand the Problem**: We know that Ramya has 52 marbles. We need to find out how many marbles Janani has now, given that if she had 9 more marbles, she would have half as many as Ramya.

2. **Define Variables**: Let the number of marbles Janani currently has be represented by \( x \).

3. **Set Up the Equation**: According to the problem, if Janani had 9 more marbles, she would have half as many as Ramya. This can be expressed mathematically as:
\[ x + 9 = \frac{1}{2} \times 52 \]

4. **Calculate Half of Ramya's Marbles**:
\[ \frac{1}{2} \times 52 = 26 \]
So, the equation now becomes:
\[ x + 9 = 26 \]

5. **Solve for \( x \)**: To find \( x \), we need to isolate it on one side of the equation. We can do this by subtracting 9 from both sides:
\[ x = 26 - 9 \]
\[ x = 17 \]

6. **Conclusion**: Janani currently has 17 marbles.

### Summary of Steps:
1. Define the variable for Janani's marbles.
2. Set up the equation based on the problem statement.
3. Calculate half of Ramya's marbles.
4. Solve the equation for \( x \).
5. State the final answer.