Let a, b be the number of bicycles and tricycles in the shop

\(\left\{{}\begin{matrix}a+b=67\\2a+3b=157\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}2a+2b=134\\2a+3b=157\end{matrix}\right.\)\(\Rightarrow b=23\)

So, the answer is 23