作者LPH66 (-858993460)
看板puzzle
标题[中译] Puzzleup 2011 (05) A Faulty Pair of Scales
时间Fri Aug 26 01:37:15 2011
题目网址: www.puzzleup.com/2011/puzzle/?223
加分时限: 8/25 7PM - 8/30 7PM
答对可得基本分100分。答案可上传5次,每改1次答案从基本分扣20分。
比赛期间内可随时上传答案,加分时限内答对第n天加(6-n)分
另依题目的难易有额外加分(如有80%的人这题答错,答对者加80分)
◆A Faulty Pair of Scales
You have a pair of scales which has two production defects:
1) The weight of the two weighing pans are not equal.
2) The lengths of the two arms are not equal.
Using this faulty pair of scales and standard weights you are weighing the
balls A, B and C.
· The weights of the balls are even numbers, different from one another.
· When you put balls A and B on the right-side pan, you need to put 20 grams
weight on the left-side pan to achieve equilibrium.
· When you put balls B and C on the left-side pan, you need to put 18 grams
weight on the right-side pan to achieve equilibrium.
· When you put all three balls on the right-side pan, you need to put X
grams weight on the left-side pan to achieve equilibrium whereas when you put
all three balls on the left-side pan, you need to put X-5 grams on the
right-side pan to achieve equilibrium.
Find the weights of the three balls.
Enter your answer as A,B,C by putting commas between the weights.
Notes:
‧ The scale may or may not be at equilibrium when both pans are empty.
‧ X may or may not be an integer.
你有一架有两个问题的天平:
1) 这天平的两个秤盘不一样重
2) 这天平的两臂不一样长
使用这架有问题的天平和标准砝码量三个球 A,B,C 的重量。
* 三球的重量皆为偶数,且两两不同。
* 当你将 A,B 一起放在右盘,则左盘要放 20 克的砝码才会平衡。
* 当你将 B,C 一起放在左盘,则右盘要放 18 克的砝码才会平衡。
* 当你将三球都放在右盘,则左盘要放 X 克的砝码才会平衡;
而当你将三球都放在左盘,则右盘要放 X-5 克的砝码才会平衡。
求三球重量。
将答案以 A,B,C 格式输入,中间以半形逗号分隔。
注意:
* 这架天平在两边皆空盘时可能不会平衡。
* X 可能不是整数。
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还没开始算 感觉是繁题...
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1F:→ LPH66:算了一个早上怀疑题目没出好...我丢 comment 过去了 08/26 14:52
2F:推 Favonia:这题好麻烦喔... 08/26 23:21