Rashi is twice as old as Sunita. Three years ago she was three times as old as…

To solve for Rashi's current age, we translate the problem into simple algebraic equations:

Step-by-Step Analysis
Define Variables:

Let Sunita's current age be S.

Rashi's current age is R = 2 * S (since Rashi is twice as old as Sunita).

Translate the Condition:

Three years ago, Sunita's age was (S - 3).

Three years ago, Rashi's age was (R - 3) = (2 * S - 3).

The problem states that three years ago, Rashi was three times as old as Sunita:
(R - 3) = 3 * (S - 3)

Solve the Equation:

Substitute R = 2 * S into the equation:
(2 * S - 3) = 3 * (S - 3)
2 * S - 3 = 3 * S - 9

Rearrange the terms to solve for S:
9 - 3 = 3 * S - 2 * S
S = 6

Find Rashi's Age:

Sunita's current age is 6 years.

Rashi's current age is R = 2 * S = 2 * 6 = 12 years.