If 50% of a number is added to 50, the result is the number itself, then the number is

Options

A. 60
B. 40
C. 100
D. 90

Answer

To solve the problem, we need to find a number \( X \) such that when 50% of it is added to 50, the result equals the number itself. Let's break down the solution step by step.

### Step 1: Define the variable
Let the number be \( X \).

### Step 2: Express 50% of the number
50% of \( X \) can be expressed as:
\[ \frac{50}{100} \times X = \frac{X}{2} \]

### Step 3: Set up the equation
According to the problem, when we add 50 to 50% of the number, we get the number itself:
\[ \frac{X}{2} + 50 = X \]

### Step 4: Rearrange the equation
To solve for \( X \), we can rearrange the equation:
\[ \frac{X}{2} + 50 = X \]
Subtract \( \frac{X}{2} \) from both sides:
\[ 50 = X - \frac{X}{2} \]

### Step 5: Combine like terms
The right side can be simplified. We can express \( X \) as \( \frac{2X}{2} \):
\[ 50 = \frac{2X}{2} - \frac{X}{2} = \frac{2X - X}{2} = \frac{X}{2} \]

### Step 6: Solve for \( X \)
Now, we can multiply both sides by 2 to eliminate the fraction:
\[ 100 = X \]

### Conclusion
The number is \( X = 100 \).