Answer
1
Work Step by Step
Let $x$ be the number
Since the quotient of twice the number and 3, minus one-sixth,
is the quotient of the number and 2, we have,
$\frac{2x}{3}$ - $\frac{1}{6}$ = $\frac{x}{2}$
$\frac{4x}{6}$ - $\frac{1}{6}$ = $\frac{3x}{6}$ (LCD = 6)
$4x - 1 = 3x$
$x = 1$
Therefore, the number is 1.