Madhulika thought of a number, doubled it and added `20` to it. On dividing the resulting number by `25`, she gets `4`. What is the number?

Options

A. `20`
B. `30`
C. `40`
D. `50`

Answer

To solve the problem step by step, let's denote the number that Madhulika thought of as \( x \).

### Step 1: Set up the equation
Madhulika doubled the number and added 20 to it. This can be expressed mathematically as:
\[ 2x + 20 \]

### Step 2: Divide the resulting number by 25
According to the problem, when this resulting number is divided by 25, she gets 4. Therefore, we can write the equation:
\[ \frac{2x + 20}{25} = 4 \]

### Step 3: Eliminate the fraction
To eliminate the fraction, multiply both sides of the equation by 25:
\[ 2x + 20 = 4 \times 25 \]
Calculating the right side:
\[ 2x + 20 = 100 \]

### Step 4: Solve for \( 2x \)
Now, we need to isolate \( 2x \) by subtracting 20 from both sides:
\[ 2x = 100 - 20 \]
Calculating the right side:
\[ 2x = 80 \]

### Step 5: Solve for \( x \)
Now, divide both sides by 2 to find \( x \):
\[ x = \frac{80}{2} \]
Calculating the right side:
\[ x = 40 \]

### Conclusion
The number that Madhulika thought of is \( 40 \).

---