34. Taiyi Zhenren and Shen Gongbao competed for the position of Golden Immortal, making their disciples Nezha and Ao Bing take the same exam. After one incense stick, both of them finished all the questions. Nezha got $\frac{1}{3}$ of the questions wrong, and Ao Bing got 6 questions wrong. Taiyi Zhenren said: “The questions you both got wrong account for $\frac{1}{5}$ of all the questions.”
Shen Gongbao said: “Fortunately, the questions you both got right exceeded half of all the questions.”
Smart students, calculate how many questions Nezha and Ao Bing both got right. $\qquad$ questions.
$20$