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MathNet 2002 — Part 02 Question 60

Math Olympiad Vault · MathNet 2002 — Part 02

Question 60

Real numbers $a, b, c$ satisfy the equations $a+b+c=26,\ 1/a+1/b+1/c=28$. Find the value of

$$
\frac{a}{b}+\frac{b}{c}+\frac{c}{a}+\frac{a}{c}+\frac{c}{b}+\frac{b}{a} .
$$