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Aug 18th 2014, 13:08

( a＋b )：( b＋c )：( c＋a )＝7：5：4
設 a＋b = 7k ...(1)
b＋c = 5k ...(2)
c＋a = 4k ...(3)
-->( a＋b )+( b＋c )+( c＋a ) = 7k + 5k + 4k
-->2( a＋b＋c ) = 16 k
-->a＋b＋c = 8k ...(4)

-->(4)-(2) -->a=3k
-->(4)-(3) -->b=4k
-->(4)-(1) -->c=k

-->a：b：c＝ 3k：4k：k ＝ 3:4:1 ...ans

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