Question

Reena is twice as old as Sunitha. Three years ago, she was three times as old as Sunitha. How old is Reena now?

• A. 6 years
• B. 7 years
• C. 8 years
• D. 12 years

Hint:

- To solve age-related problems, set up a system of equations based on the relationships provided, and then solve for the unknowns.

Answer 1

The Correct Option is D

Step 1: Let the present age of Sunitha be x.
Since Reena is twice as old as Sunitha, Reena's present age will be \( 2x \). Step 2: Using the Age Relationship 3 Years Ago
Three years ago, Sunitha’s age was \( x - 3 \), and Reena's age was \( 2x - 3 \). According to the problem, three years ago, Reena was three times as old as Sunitha: \[ 2x - 3 = 3(x - 3) \] Step 3: Solving the Equation
Simplifying the equation: \[ \begin{aligned} 2x - 3 &= 3x - 9
2x - 3x &= -9 + 3
-x &= -6
x &= 6 \end{aligned} \] Step 4: Reena's Age
Since Sunitha's present age is \( x = 6 \), Reena's present age is \( 2x = 2(6) = 12 \). Thus, Reena is 12 years old. Therefore, the correct answer is (4) 12 years.