If twelve less than 3 times of a number is 27, then the number is ______.

Options

A. 29
B. 39
C. 65
D. 13

Answer

To solve the problem "If twelve less than 3 times of a number is 27, then the number is ______," we can follow these steps:

### Step-by-Step Solution:

1. **Define the Variable**:
Let the unknown number be represented by \( x \).

2. **Translate the Statement into an Equation**:
According to the problem, "three times a number" can be expressed as \( 3x \). The phrase "twelve less than three times a number" translates to \( 3x - 12 \). We are told that this expression equals 27:
\[ 3x - 12 = 27 \]

3. **Isolate the Variable**:
To solve for \( x \), we first need to get rid of the -12. We do this by adding 12 to both sides of the equation:
\[ 3x - 12 + 12 = 27 + 12 \]
Simplifying this gives:
\[ 3x = 39 \]

4. **Solve for \( x \)**:
Now, we need to isolate \( x \) by dividing both sides of the equation by 3:
\[ x = \frac{39}{3} \]
Simplifying this gives:
\[ x = 13 \]

5. **Final Answer**:
Therefore, the number is \( 13 \).