# Find ABC

Algebra Level 3

$$a,\quad b,\quad c$$ are real numbers in the following equation system:

$$\begin{cases} ab\left( a+b+c \right) =1001 \\ bc\left( a+b+c \right) =2002 \\ ca\left( a+b+c \right) =3003 \end{cases}$$

Find $$abc$$

×