Theo đề bài ta có:
\(\left\{{}\begin{matrix}p+e+n=46\\n=\frac{8}{15}\left(p+e\right)\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}2p+n=46\\n=\frac{16p}{15}\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}p=e=15\\n=16\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}Z=15\\N=16\\A=p+e=15+16=31\end{matrix}\right.\)