Find the number which when multiplied by 13 is increased by 240 is

Options

A. 40
B. 30
C. 10
D. 20

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Define the variable
Let the unknown number be represented by \( x \).

### Step 2: Set up the equation
According to the problem, when this number \( x \) is multiplied by 13, it is increased by 240. We can express this relationship with the equation:
\[ 13x = x + 240 \]

### Step 3: Rearrange the equation
To isolate \( x \), we will move \( x \) from the right side to the left side of the equation:
\[ 13x - x = 240 \]

### Step 4: Simplify the equation
Now, simplify the left side:
\[ 12x = 240 \]

### Step 5: Solve for \( x \)
Next, divide both sides of the equation by 12 to find the value of \( x \):
\[ x = \frac{240}{12} \]

### Step 6: Calculate the value
Now, perform the division:
\[ x = 20 \]

### Conclusion
Thus, the number we are looking for is \( 20 \).

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