Puzzleup 2011 (05) A Faulty Pair of Scales - 拼圖

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◆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.

你有一架有兩個問題的天平：

1) 這天平的兩個秤盤不一樣重
2) 這天平的兩臂不一樣長

使用這架有問題的天平和標準砝碼量三個球 A,B,C 的重量。

* 三球的重量皆為偶數，且兩兩不同。
* 當你將 A,B 一起放在右盤，則左盤要放 20 克的砝碼才會平衡。
* 當你將 B,C 一起放在左盤，則右盤要放 18 克的砝碼才會平衡。
* 當你將三球都放在右盤，則左盤要放 X 克的砝碼才會平衡；
而當你將三球都放在左盤，則右盤要放 X-5 克的砝碼才會平衡。

求三球重量。

將答案以 A,B,C 格式輸入，中間以半形逗號分隔。

注意:
* 這架天平在兩邊皆空盤時可能不會平衡。
* X 可能不是整數。

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還沒開始算 感覺是繁題...

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