IKMC 2027 - Grades 7-8 - Self-study SET 15 - Thematic Batch 3 Question 21

Numbers a,b,c satisfy $\frac{a^2}{a+b}+\frac{b^2}{b+c}+\frac{c^2}{c+a}=2014$. Find $\frac{a^2}{c+a}+\frac{b^2}{a+b}+\frac{c^2}{b+c}$.