Math Problem Statement
- The positive real numbers a, b, c satisfy: a/(2b + 1) + (2b)/(3c + 1) + (3c)/(a + 1) = 1 1/(a + 1) + 1/(2b + 1) + 1/(3c + 1) = 2
What is the value of 1/a + 1/b + 1/c
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Symmetry in Equations
Nonlinear Systems
Formulas
a/(2b + 1) + (2b)/(3c + 1) + (3c)/(a + 1) = 1
1/(a + 1) + 1/(2b + 1) + 1/(3c + 1) = 2
Theorems
Symmetry in Equations
Simultaneous Equations
Suitable Grade Level
Grades 11-12
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