Nine added to thrice a whole number given `45`. Find the number

Options

A. `12`
B. `11`
C. `10`
D. `9`

Answer

To solve the problem "Nine added to thrice a whole number is given as 45. Find the number," we can follow these steps:

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

### Step 2: Write the equation
According to the problem, nine added to thrice the whole number equals 45. This can be expressed as:
\[ 3x + 9 = 45 \]

### Step 3: Isolate the term with the variable
To isolate \( 3x \), we need to subtract 9 from both sides of the equation:
\[ 3x + 9 - 9 = 45 - 9 \]
This simplifies to:
\[ 3x = 36 \]

### Step 4: Solve for \( x \)
Now, divide both sides by 3 to solve for \( x \):
\[ x = \frac{36}{3} \]
This simplifies to:
\[ x = 12 \]

### Step 5: Conclusion
The whole number is \( 12 \).

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