در ابتدای یک جلسه از کلاس آموزش زبان، نسبت افراد غایب به حاضر ۱ به ۳ است. اگر در طی تدریس ۲ زبانآموز دیگر در کلاس حاضر شوند، این نسبت ۱ به ۵ میشود. در انتهای جلسه چند نفر غایب هستند؟
$\left\{ \begin{gathered} x \hfill \\ y \hfill \\ \end{gathered} \right.\,\,\,\,\,\,\,\,\,\frac{y}{x} = \frac{1}{3} \to x = 3y$$\begin{gathered} \left\{ \begin{gathered} x + 2 \hfill \\ y - 2 \hfill \\ \end{gathered} \right.\,\,\,\,\,\,\,\,\,\frac{{y - 2}}{{x + 2}} = \frac{1}{5} \to 5y - 10 = x + 2 \to 5y - x = 12 \hfill \\ \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,2y = 12 \hfill \\ \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,y = 6 \hfill \\ \end{gathered} $ پس تعداد غایبها در انتهای کلاس y-2=4 نفر میباشد.