Kindly solve this equation

Dear student,

ABC $\times$ AA  = AC6C

The unit digit is C$\times$A = C
Hence A can be 1 .

By hit and trail if we put C = 9 , then AC6C = 1969
If 1969 /11 = 179
Hence ABC = 179
So B = 7 , C = 9 , A = 1. 

You can follow another more elaborate method:


Regards!