若x+y除以3=y+z除以5=z+x除以4,且xyz≠0,则x:y:z=?
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若x+y除以3=y+z除以5=z+x除以4,且xyz≠0,则x:y:z=?
若x+y除以3=y+z除以5=z+x除以4,且xyz≠0,则x:y:z=?
若x+y除以3=y+z除以5=z+x除以4,且xyz≠0,则x:y:z=?
5(x+y))=3(y+z)
4(x+y)=3(z+x)
y=2x
z=3x
x:y:z=1:2:3
令(x+y)/3=(y+z)/5+(z+x)/4=k
所以x+y=3k (1)
y+z=5k (2)
z+x=4k (3)
相加
2(x+y+z)=12k
x+y+z=6k (4)
用(4)分别减去(1)(2)(3)
z=3k,x=k,y=2k
所以x:y:z=1:2:3
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