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HMMT 十一月 2018 · 冲刺赛 · 第 4 题

HMMT November 2018 — Guts Round — Problem 4

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [ 6 ] Let a , b , c , n be positive real numbers such that = 3, = 4, and = n . Find n . a b c
解析
  1. [ 6 ] Let a , b , c , n be positive real numbers such that = 3, = 4, and = n . Find n . a b c Proposed by: Evan Chen 7 Answer: 6 We have b c a 1 = · · = (3 1)(4 1)( n 1) . a b c 7 Solving for n yields n = . 6