14. (3 points) $A$ says: "I am 10 years old, 2 years younger than $B$, and 1 year older than $C$." $B$ says: "I am not the youngest, $C$ and I differ by 3 years, and $C$ is 13 years old." $C$ says: "I am younger than $A$, $A$ is 11 years old, and $B$ is 3 years older than $A$." Each of them has one incorrect statement among the three they made. Please determine $A$'s age is $\qquad$ years.
【Answer】Solution: According to the analysis of the question, the discussion and analysis process are statistically presented in the table below: $\times \sqrt{ }$
\begin{tabular}{|c|c|c|c|}
\hline & First sentence & Second sentence & Third sentence \\
\hline$A$ says & I am 10 years old $\times$ & 2 years younger than $B$ $\sqrt{\mid c}$. & 1 year older than $C$ $\checkmark$ \\
\hline$B$ says & I am not the youngest & $C$ and I differ by 3 years & $C$ is 13 years old \\
\hline$C$ says & I am younger than $A$ $\times$ & $A$ is 11 years old $\checkmark$ & $B$ is 3 years older than $A$ $\checkmark$ \\
\hline
\end{tabular}

From the above reasoning, we can conclude: $A$ is 11 years old. Then, based on $A$ saying “2 years younger than $B$, 1 year older than $C$,” we can deduce: $B$ is $11+2=13$ years old, and $C$ is $11-1=10$ years old; that is, $A$ is 11 years old, $B$ is 13 years old, and $C$ is 10 years old;

Substituting this conclusion into the table above, we can see that $B$ saying $C$ is 13 years old is incorrect, while the other two statements are correct, which confirms that this assumption is valid;

Answer: From the above reasoning, we can conclude that $A$ is 11 years old.
Therefore, the answer is: 11.