math/问题/均贫富.md
2022-08-16 13:48:00 +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 \quad (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) \\\\
x &= \dfrac{a-b}{2} &(等式两侧同除以2)
\end{aligned}
$
## 解法2
$ x = \dfrac{a+b}{2} - b $