Question

It A ≠ B ≠ C ,
A+B=C
A×B=C
Que：A=? B=? C=?

Answer 1

Only thing that fits is:
a=b=2, c=4 or
a=b=c=0

Answer 2

hmmmmm a trick question

Answer 3

Yes, it is impossible given your requrements. It could be solved, but you'd only get algebra answers and not integers