已知x::y:z=3:4:5,(1)求x+y分之z的值;(2)若x+y+z=6,求x,y,z.
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已知x::y:z=3:4:5,(1)求x+y分之z的值;(2)若x+y+z=6,求x,y,z.
因为x:y:z=3:4:5
所以设x=3k ,y=4k ,z=5k (k≠0)
(1)z/(x+y)
=5k/(3k+4k)
=5k/7k
=5/7
(2) x+y+z=6
3k+4k+5k=6
12k=6
k=1/2
x=3k=3/2
y=4k=2
z=5k=5/2
所以设x=3k ,y=4k ,z=5k (k≠0)
(1)z/(x+y)
=5k/(3k+4k)
=5k/7k
=5/7
(2) x+y+z=6
3k+4k+5k=6
12k=6
k=1/2
x=3k=3/2
y=4k=2
z=5k=5/2
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