13. (3 points) A math competition has 10 questions, with a rule that each correct answer earns 5 points, and each wrong answer or no answer deducts 2 points. $A$ and $B$ each answer the questions, and their total score is 58 points, with $A$ scoring 14 points more than $B$. Then $A$ answered $\qquad$ questions correctly.
【Answer】Solution: $(58+14) \div 2$
$$
\begin{array}{l}
=72 \div 2 \\
=36 \text { (points) }
\end{array}
$$

Wrong answer: $(5 \times 10-36) \div(2+5)$
$$
=14 \div 7
$$
$=2$ （questions）
Correct answer: $10-2=8$ questions.
Therefore, the answer is: 8.