HMMT 二月 2002 · 代数 · 第 3 题
HMMT February 2002 — Algebra — Problem 3
题目详情
- Real numbers a, b, c satisfy the equations a + b + c = 26 , 1 /a + 1 /b + 1 /c = 28. Find the value of a b c a c b
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- . b c a c b a
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解析
- Real numbers a, b, c satisfy the equations a + b + c = 26 , 1 /a + 1 /b + 1 /c = 28. Find the value of a b c a c b
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- . b c a c b a Solution: 725 Multiplying the two given equations gives a a a b b b c c c
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- = 26 · 28 = 728 , a b c a b c a b c and subtracting 3 from both sides gives the answer, 725.
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