The sum of three times a number and 11 is 32. find the number:

Options

A. A)5
B. B)7
C. C)11
D. D)9

Answer

To solve the problem, we will follow these steps:

1. **Define the variable**: Let the unknown number be represented by \( N \).

2. **Set up the equation**: According to the problem, the sum of three times the number and 11 is equal to 32. This can be expressed mathematically as:
\[ 3N + 11 = 32 \]

3. **Isolate the term with the variable**: To isolate \( 3N \), we will subtract 11 from both sides of the equation:
\[ 3N + 11 - 11 = 32 - 11 \]
Simplifying this gives:
\[ 3N = 21 \]

4. **Solve for the variable**: Now, we will divide both sides of the equation by 3 to find \( N \):
\[ N = \frac{21}{3} \]
Simplifying this gives:
\[ N = 7 \]

5. **Conclusion**: The number we are looking for is \( 7 \).