HMMT 二月 2001 · GEN1 赛 · 第 4 题
HMMT February 2001 — GEN1 Round — Problem 4
题目详情
英文原题
- Find a + b + c + d + e if
3 a + 2 b + 4 d = 10,
6 a + 5 b + 4 c + 3 d + 2 e = 8,
a + b + 2 c + 5 e = 3,
2 c + 3 d + 3 e = 4, anda + 2 b + 3 c + d = 7. 6
解析
英文解析
- Find a + b + c + d + e if
3 a + 2 b + 4 d = 10,
6 a + 5 b + 4 c + 3 d + 2 e = 8,
a + b + 2 c + 5 e = 3,
2 c + 3 d + 3 e = 4, anda + 2 b + 3 c + d = 7.
Solution: Adding the first, third, and fifth equations, we get 5 a + 5 b + 5 c + 5 d + 5 e =
10 + 3 + 7 ⇒ a + b + c + d + e = 4 . 6