math/问题/均贫富.md

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# 均贫富
```
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明明:🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎 18个
小强:🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎 12个
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问:明明给小强几个苹果后两个人的苹果就一样多了?
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```
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$ a - x = b + x \quad (a \in \Bbb{N}, b \in \Bbb{N}, a>b) $
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## 解法1
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$
\begin{aligned}
2x &= a - b &(移项并交换等式两侧) \\\\
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x &= \dfrac{a-b}{2} &(等式两侧同除以2)
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\end{aligned}
$
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## 解法2
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$ x = \dfrac{a+b}{2} - b $