PUMaC 2025 · 代数(A 组) · 第 8 题
PUMaC 2025 — Algebra (Division A) — Problem 8
题目详情
- Let S be the set of ordered triples of positive integers ( x, y, z ) such that y ( x + y + z ) = zx and ( x + y )( y + z )( z + x ) 2 2 2 x + y + z + xy + yz + zx = 2 + 145 . x + y + z Find the sum of 100 x + 10 y + z over all ( x, y, z ) ∈ S . 2
解析
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