Damini is twice as old as Hari. Hari is 5 years older than Nipa. In 5 years, Damini will be three times as old as Nipa. How old is Hari now?

Options

A. 7
B. 6
C. 8
D. 5

Answer

To solve the problem step by step, let's define the ages of the individuals involved based on the information given:

1. **Define Variables**:
- Let Hari's age be \( X \).
- Since Damini is twice as old as Hari, Damini's age will be \( 2X \).
- Hari is 5 years older than Nipa, so Nipa's age will be \( X - 5 \).

2. **Set Up the Equation for Future Ages**:
- In 5 years, Damini's age will be \( 2X + 5 \).
- In 5 years, Nipa's age will be \( (X - 5) + 5 = X \).
- According to the problem, in 5 years, Damini will be three times as old as Nipa. Therefore, we can set up the equation:
\[ 2X + 5 = 3(X) \]

3. **Solve the Equation**:
- Rearranging the equation:
\[ 2X + 5 = 3X \]
- Subtract \( 2X \) from both sides:
\[ 5 = 3X - 2X \]
\[ 5 = X \]

4. **Conclusion**:
- Thus, Hari's current age \( X \) is \( 5 \) years.

Now, let's summarize the hints for each step: