Question

numerele x,Y,z sunt direct proporționale cu 2,3,5 si x*y*z=240.
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Answer 1

$\frac{x}{2}=\frac{y}{3}=\frac{z}{5}=k =\ \textgreater \ x = 2k, \ y=3k, \ z = 5k. \\ x*y*z=240=\ \textgreater \ 2k * 3k * 5k=240=\ \textgreater \ 30k^3=240=\ \textgreater \ k^3=8=\ \textgreater \ \\ =\ \textgreater \ k=2 =\ \textgreater \ x = 2 * 2 = 4, \ y= 3*2 =6, \ z= 5*2 =10.$