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

Question

Accepted Answer

Let the present age of Anita be $$ x $$ years.  
Then, the present age of Asha is $$ 2x $$.

### Step 1: Form the equation based on the condition "Three years ago, Asha was three times as old as Anita":  
Three years ago:  
- Asha's age = $$ 2x - 3 $$.  
- Anita's age = $$ x - 3 $$.

According to the condition:  
$$
2x - 3 = 3(x - 3).
$$

### Step 2: Solve the equation:  
Expand and simplify:  
$$
2x - 3 = 3x - 9.
$$  
Rearrange terms:  
$$
2x - 3x = -9 + 3.
$$  
$$
-x = -6 \implies x = 6.
$$

### Step 3: Calculate Asha's age:  
Asha's present age is $$ 2x = 2 	imes 6 = 12 $$ years.

Thus, the correct answer is **(a) 12 years**.

Answer

Answer

Answer