Today is Vishal's birthday. One year from today he will be twice as old as he was 12 years ago. How old is Vishal today?

Options

A. (a) 20 years
B. (b) 22 years
C. (c) 25 years
D. (d) 27 years

Explanation

To solve the problem step by step, let's denote Vishal's current age as \( V \).

### Step 1: Understand the problem
Today is Vishal's birthday. We need to find out how old he is today based on the information given about his age in the future and the past.

### Step 2: Set up the equation
According to the problem, one year from today, Vishal will be \( V + 1 \) years old. The problem states that this age will be twice as old as he was 12 years ago.

Twelve years ago, Vishal's age was \( V - 12 \).

### Step 3: Write the equation
From the information given, we can write the equation:
\[ V + 1 = 2(V - 12) \]

### Step 4: Simplify the equation
Now, let's simplify the equation:
\[ V + 1 = 2V - 24 \]

### Step 5: Rearrange the equation
To isolate \( V \), we can rearrange the equation:
\[ V + 1 + 24 = 2V \]
\[ 25 = 2V - V \]
\[ 25 = V \]

### Step 6: Conclusion
Thus, Vishal is currently \( 25 \) years old.

### Step 7: Verify the solution
To verify, we can check:
- One year from now, Vishal will be \( 25 + 1 = 26 \) years old.
- Twelve years ago, he was \( 25 - 12 = 13 \) years old.
- Twice his age from 12 years ago is \( 2 \times 13 = 26 \), which matches our earlier calculation.

Therefore, the solution is correct.