【Question 5】
Given that $A$ is a positive integer and satisfies the following conditions: $\frac{5}{9}<\frac{9}{A}<1$. How many different values can $A$ take?
【Analysis and Solution】
Since $\frac{5}{9}\frac{A}{9}>1$, that is, $1<\frac{A}{9}<\frac{9}{5}$;
thus $9<A<\frac{81}{5}$, which means $9<A<16 \frac{1}{5}$;
since $A$ is a positive integer;
therefore $A=10, 11, 12, 13, 14, 15, 16$; $A$ has $16-10+1=7$ different values.