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Numerele x,y,z sunt direct proportionale cu 2,3,5 , iar x · y · z = 240

Răspuns :

x/2=y/3=z/5=k
x/2=x:2=k=>x=2k
y/3=y:3=k=>y=3k
z/5=z:5=k=>z=5k
x×y×z=240
2k×3k×5k=240
30k=240
k=240:30
k=8
x=2k=2×8=16
y=3k=3×8=24
z=5k=5×8=40