Twice a number when decreased by `7` gives `45`. find the number.

Options

A. `36`
B. `26`
C. `16`
D. `46`

Answer

To solve the problem step by step, we will first translate the given statement into a mathematical equation and then solve for the unknown number.

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

### Step 2: Translate the statement into an equation
The problem states that "twice a number when decreased by 7 gives 45". This can be translated into the following equation:
\[ 2x - 7 = 45 \]

### Step 3: Add 7 to both sides of the equation
To isolate the term with \( x \), we will add 7 to both sides of the equation:
\[ 2x - 7 + 7 = 45 + 7 \]
This simplifies to:
\[ 2x = 52 \]

### Step 4: Divide both sides by 2
Next, we will divide both sides of the equation by 2 to solve for \( x \):
\[ \frac{2x}{2} = \frac{52}{2} \]
This simplifies to:
\[ x = 26 \]

### Conclusion
The number we are looking for is \( 26 \).