X+Y+Z=30 120X:100Y:200Z=3:2:1

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X+Y+Z=30120X:100Y:200Z=3:2:1X+Y+Z=30120X:100Y:200Z=3:2:1X+Y+Z=30120X:100Y:200Z=3:2:1X+Y+Z=30(1)120X:

X+Y+Z=30 120X:100Y:200Z=3:2:1
X+Y+Z=30 120X:100Y:200Z=3:2:1

X+Y+Z=30 120X:100Y:200Z=3:2:1
X+Y+Z=30 (1)
120X:100Y:200Z=3:2:1 (2)
由(2)得X=(5/4)Y ,Z=(1/4)Y (3)
把(3)分别代入 (1)得(5/4)Y +Y+(1/4)Y =30
( 5/2)Y=30
Y=12
那么X=(5/4)Y=15,Z=(1/4)Y =3