math/问题/均贫富.md
2022-08-16 13:47:38 +08:00

441 B

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 &= \frac{a-b}{2} &(等式两侧同除以2) \end{aligned} $

解法2

x = \dfrac{a+b}{2} - b