Răspuns:
7200
Explicație pas cu pas:
{x; y; z} i.p. {2; 3; 5}
=> 2x=3y=5x=k
=> [tex]x=\frac{k}{2}[/tex] ; [tex]y=\frac{k}{3}[/tex] ; [tex]z=\frac{k}{5}[/tex]
x+y+z=62 => [tex]\frac{k}{2} +\frac{k}{3} +\frac{k}{5} = 62[/tex]
Inmultim cu 30 egalitatea
=> 15k+10k+6k=1860
31k=1860 => k=60
=> x=60:2=30
=> y=60:3=20
=> z=60:5=12
=> x*y*z=30*20*12=600*12=7200
