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赵鑫 2022-08-16 13:56:50 +08:00
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问题/均贫富.md
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# 均贫富
```
明明：🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎 18个
小强：🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎 12个
问：明明给小强几个苹果后两个人的苹果就一样多了？
```
$ a - x = b + x \quad (a \in \Bbb{N}, b \in \Bbb{N}, a>b) $
姐姐：🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎 16个
弟弟：🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎 10个
问题：姐姐给弟弟几个苹果后两个人的苹果就一样多了？
## 解法1
$
a - x = b + x \quad (a \in \Bbb{N}, b \in \Bbb{N}, a>b) \\\\
\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)