返回题库

HMMT 十一月 2014 · 冲刺赛 · 第 5 题

HMMT November 2014 — Guts Round — Problem 5

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [ 6 ] Suppose that x, y, z are real numbers such that x = y + z + 2 , y = z + x + 1 , and z = x + y + 4 . Compute x + y + z . ◦ ◦
解析
  1. [ 6 ] Suppose that x, y, z are real numbers such that x = y + z + 2 , y = z + x + 1 , and z = x + y + 4 . Compute x + y + z . Answer: − 7 Adding all three equations gives x + y + z = 2( x + y + z ) + 7 , from which we find that x + y + z = − 7. ◦ ◦