Suma wieku ojca i syna wynosi 60 lat. Za 15 lat ojciec będzie dwa razy starszy od syna. Ile lat ma ojciec, a ile syn ??? proszę o szczegółowe rozwiązanie. :)
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x - wiek ojca
![\begin{cases} x+y=60\\ x+15=2(y+15)\end{cases} \begin{cases} x+y=60\\ x+15=2(y+15)\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D+x%2By%3D60%5C%5C+x%2B15%3D2%28y%2B15%29%5Cend%7Bcases%7D)
![\begin{cases} x+y=60\\ x+15=2y+30\end{cases} \begin{cases} x+y=60\\ x+15=2y+30\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D+x%2By%3D60%5C%5C+x%2B15%3D2y%2B30%5Cend%7Bcases%7D)
![\begin{cases} x+y=60 /\cdot 2\\ x-2y=30-15\end{cases} \begin{cases} x+y=60 /\cdot 2\\ x-2y=30-15\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D+x%2By%3D60+%2F%5Ccdot+2%5C%5C+x-2y%3D30-15%5Cend%7Bcases%7D)
![\begin{cases} 2x+2y=120\\ x-2y=15\end{cases} \begin{cases} 2x+2y=120\\ x-2y=15\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D+2x%2B2y%3D120%5C%5C+x-2y%3D15%5Cend%7Bcases%7D)
![3x=135 \ /:3 3x=135 \ /:3](https://tex.z-dn.net/?f=3x%3D135+%5C+%2F%3A3)
![x=45 x=45](https://tex.z-dn.net/?f=x%3D45)
![\begin{cases} x=45\\ x+y=60\end{cases} \begin{cases} x=45\\ x+y=60\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D+x%3D45%5C%5C+x%2By%3D60%5Cend%7Bcases%7D)
![\begin{cases} x=45\\ 45+y=60\end{cases} \begin{cases} x=45\\ 45+y=60\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D+x%3D45%5C%5C+45%2By%3D60%5Cend%7Bcases%7D)
![\begin{cases} x=45\\ y=60-45\end{cases} \begin{cases} x=45\\ y=60-45\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D+x%3D45%5C%5C+y%3D60-45%5Cend%7Bcases%7D)
![\begin{cases} x=45\\ y=15\end{cases} \begin{cases} x=45\\ y=15\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D+x%3D45%5C%5C+y%3D15%5Cend%7Bcases%7D)
y - wiek syna
60 - suma lat
x+y - suma lat
x+15 - wiek ojca za 15 lat
y+15 - wiek syna za 15 lat
2(y+15) - wiek ojca za 15 lat
+___________
Odp.: Ojciec ma 45 lat, syn 15 lat.