[tex]\it Vom\ nota\ cele\ dou\breve a\ numere\ cerute\ cu\ x\ \c si\ y.\\ \\ x+y=23\ \ \ \ \ (*)\\ \\ \\ \dfrac{x}{y}=1,875 \Rightarrow\ \dfrac{x}{y}= \dfrac{\ \ 1875^{(25}}{1000} \Rightarrow\ \dfrac{x}{y}= \dfrac{\ 75^{(5}}{40} \Rightarrow \dfrac{x}{y}= \dfrac{15}{8} \Rightarrow \\ \\ \\ \Rightarrow \dfrac{x}{15} = \dfrac{y}{8} = \dfrac{x+y}{15+8}\ \stackrel{(*)}{=}\ \dfrac{23}{23}=1 \Rightarrow x=15,\ \ \ y=8[/tex]
