[tex]\it \left.\begin{aligned} \it a:b=14,4 \Rightarrow a=14,4b \ \ \ \ \ \ \ \ \rule{0.2}{0.2}\\ \\ \it a:b=14\ rest\ 2 \Rightarrow a=14b+2\end{aligned\right\}} \Rightarrow \it 14,4b=14b+2|_{-14b} \Rightarrow0,4b=2|_{\cdot5} \Rightarrow \\ \\ \\ \Rightarrow 2b=10|_{:2} \Rightarrow b=5[/tex]
[tex]\it a=14b+2=14\cdot5+2=70+2=72[/tex]