Answer
The number is 3.
Work Step by Step
"The quotient of a number and 3" translates to $\frac{x}{3}$.
"The difference of the number and 2" translates to x - 2.
The expression is therefore $\frac{x}{3}$ = x - 2.
Solve for x by subtracting x from both sides:
$-\frac{2}{3}$x = -2
Multiply both sides by $-\frac{3}{2}$:
x = 3