Answer
Number is 2
Work Step by Step
Let the number be $\rightarrow$ x
Thus reciprocal of x $\rightarrow$ $\frac{1}{x}$
Thus 3 times the reciprocal of x $\rightarrow$ $\frac{3(1)}{x}$ = $\frac{3}{x}$
9 times reciprocal of 6 $\rightarrow$ 9 ($\frac{1}{6}$) = $\frac{3}{2}$
Given:
$\frac{3}{x}$ = $\frac{3}{2}$
Thus x = $\frac{2(3)}{3}$ = 2