To solve the problem, we can set up an equation based on the information given.
Let \( x \) be the number we need to find. According to the problem, one-quarter of the difference of \( x \) and 3 is equal to 2. This can be expressed as:
\[ \frac{1}{4}(x - 3) = 2 \]
To eliminate the fraction, multiply both sides by 4:
\[ x - 3 = 8 \]
Next, add 3 to both sides to solve for \( x \):
\[ x = 8 + 3 \] \[ x = 11 \]
So, the number is 11.
The correct response is 11.