[奧林匹克挑戰題]1

2007-12-14 5:59 am
Question:

回答 (2)

2007-12-14 6:37 am
✔ 最佳答案
Let d be the HCF of a and c
then a=dm, c=dn
we have
b=ca/(a+c)=dmn/(m+n)
and d(m-n)=101
So d=101 and m-n=1
Because (m+n)|d
So m+n=101
That is m=51 , n=50
b=(101)(51)(50)/(101)=2550
2007-12-14 6:41 am
呢個answer唔係positive integer.......
c x c-101c
_________ = b
99


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