问题
填空题
(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.
(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,
∴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.
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