math/问题/均贫富.md
2022-08-16 13:31:36 +08:00

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# 均贫富
```
明明的邮票:============================= 29
小强的邮票:========= 9
问:明明给小强几张邮票后两个人的邮票就一样多了?
```
$$ a - x = b + x \qaud (a \in \Bbb{N}, b \in \Bbb{N}, a>b) $$
## 解法1
$ \begin{aligned} 2x &= a - b &(移项并交换等式两侧) \newline x &=\frac{a-b}{2} &(等式两侧同除以2) \end{aligned} $
## 解法2
$$ x = \frac{a+b}{2} - b $$
\(x = \frac{a+b}{2} - b \)