(a-c):(a+b):(c-b)=2:7:1,且a+b+c=20,则a=______,b=______,c=______.

(a-c):(a+b):(c-b)=2:7:1,且a+b+c=20,则a=______,b=______,c=______.

题型:不详难度:来源:
(a-c):(a+b):(c-b)=2:7:1,且a+b+c=20,则a=______,b=______,c=______.
答案
∵(a-c):(a+b):(c-b)=2:7:1,
∴设a-c=2k,a+b=7k,c-b=k,
∴a=5k,b=2k,c=3k,
∵a+b+c=20,
∴5k+2k+3k=20,
解得:k=2,
∴a=10,b=4,c=6.
故答案为:10,4,6.
举一反三
x
2
=
y
3
=
z
4
,则
x+2y-z
x-y+2z
=______.
题型:不详难度:| 查看答案
a
3
=
b
4
=
c
5
≠0,则
a-b
c
=______.
题型:不详难度:| 查看答案
a
b
=
c
d
=
e
f
=
2
3
,则
a+3c
b+3d
=______,
c-e
d-f
=______.
题型:不详难度:| 查看答案
a
4
=
b
5
=
c
6
,则
a+b
c-b
=______.
题型:不详难度:| 查看答案
若x:y:z=2:(-1):1,则
x+2y-z
2x-y+z
=______.
题型:不详难度:| 查看答案
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