If the sum of one-half and one-fifth of a number exceeds one-third of that number by 7 1/3, the number is · ABC26GN1662

Let the number be $x$. Then, $\left(\frac{1}{2} x+\frac{1}{5} x\right)-\frac{1}{3} x=\frac{22}{3} \Leftrightarrow \frac{11 x}{30}$ $$=\frac{22}{3} \Leftrightarrow x=\left(\frac{22 \times 30}{3 \times 11}\right)=20 .$$