Let's denote the unknown number as \( x \).
According to the problem, we can express the statement "One-quarter of the difference of a number and 3 is 2" with the following equation:
\[ \frac{1}{4}(x - 3) = 2 \]
To solve for \( x \), first, we can eliminate the fraction by multiplying both sides of the equation by 4:
\[ x - 3 = 8 \]
Next, we add 3 to both sides to isolate \( x \):
\[ x = 8 + 3 \]
\[ x = 11 \]
Thus, the number is \( 11 \).
The correct response is:
11.
1 answer