[tex] > resolucao \\ \\ \geqslant grandezas \: inversamente \\ proporcional \\ \\ \\ > \frac{x}{2} + \frac{x}{3} = 600 > > mmc = 6 \\ \\ > 3x + 2x = 3600 \\ \\ 5x = 3600 \\ \\ x = \frac{3600}{5} \\ \\ x = 720 \\ \\ \\ > \frac{x}{2} = > \frac{720}{2} = 360 \\ \\ > \frac{x}{3} = > \frac{720}{ 3} = 240 \\ \\ \\ resposta \: > \: as \: partes \: sao \: 360 \: \: e \: \: 240 \\ \\ \\ > < > < > < > < > < > [/tex]