Solución al problema 124

Enunciado del problema 124

$$\begin{array}{ccc}.\begin{array}{ccc}2f\left(6\right)+3f\left(\frac{2010}{6}\right)& =& 30\\ 2f\left(\frac{2010}{6}\right)+3f\left(6\right)& =& 1675\end{array}\}& \Rightarrow & .\begin{array}{ccc}2f\left(6\right)+3f\left(335\right)& =& 30\\ 2f\left(335\right)+3f\left(6\right)& =& 1675\end{array}\}\Rightarrow \\ \Rightarrow .\begin{array}{ccc}4f\left(6\right)+6f\left(335\right)& =& 60\\ 9f\left(6\right)+6f\left(335\right)& =& 5025\end{array}\}& \Rightarrow & 5f\left(6\right)=4965\Rightarrow f\left(6\right)=993\end{array}$$