Let's denote the unknown number as \( x \). According to the problem, one-quarter of the difference between this number and 3 is equal to 2. We can translate this into the following equation:
\[ \frac{1}{4}(x - 3) = 2 \]
To eliminate the fraction, multiply both sides of the equation by 4:
\[ x - 3 = 8 \]
Now, add 3 to both sides:
\[ x = 8 + 3 \]
\[ x = 11 \]
So, the number is \( 11 \).
Among the choices provided, the correct response is: 11
1 answer