Mani is double the age of Prabhu, Ramona is half the age of Prabhu. If Mani is sixty, find out the age of Ramona.

Options

A. 20
B. 15
C. 10
D. 24

Explanation

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

1. **Identify the Variables**:
- Let the age of Prabhu be represented as \( P \).
- Since Mani is double the age of Prabhu, we can express Mani's age as \( M = 2P \).
- Ramona is half the age of Prabhu, so we can express Ramona's age as \( R = \frac{1}{2}P \).

2. **Given Information**:
- We know that Mani's age \( M \) is 60 years.

3. **Set Up the Equation**:
- From the relationship \( M = 2P \), we can substitute the value of \( M \):
\[ 60 = 2P \]

4. **Solve for Prabhu's Age**:
- To find \( P \), divide both sides of the equation by 2:
\[ P = \frac{60}{2} = 30 \]
- So, Prabhu is 30 years old.

5. **Calculate Ramona's Age**:
- Now, we can find Ramona's age using the equation \( R = \frac{1}{2}P \):
\[ R = \frac{1}{2} \times 30 = 15 \]
- Thus, Ramona is 15 years old.

**Final Answer**: Ramona's age is 15 years.

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