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SMO 2014 Junior Round 1 Question 23

SMO · SMO 2014 Junior Round 1

Question 23

If $a,b$ and $c$ are non-zero real numbers satisfying $a+2b+3c=2014$ and $2a+3b+2c=2014$, find the value of $\frac{a^2+b^2+c^2}{ac+bc-ab}$.