Please send urgent in 1 day : Find the values of A and B which satisfy the condition AB multiplied by AB = AC4

Answer :

Here we have  AB $\times$ AB  =  AC4

So, we have a number multiplied to itself and gives three digit number with end digit 4 .

We can have end digit 4 , when we have our numbers

AB  =  12  or 18  or 22 or 28
So,

12 $\times$ 12  =  144                  (  Here we have A =  1 to satisfied AB $\times$ AB  =  AC4 )

18 $\times$ 18  = 324                 (  Here we have different values of A =  1 and 3 , that is not satisfied AB $\times$ AB  =  AC4 )

22 $\times$ 22  = 484                 (  Here we have different values of A =  2 and 4 , that is not satisfied AB $\times$ AB  =  AC4 )

28 $\times$ 28  = 784                 (  Here we have different values of A =  2 and 7 , that is not satisfied AB $\times$ AB  =  AC4 )

Or

32 $\times$ 32  = 1024    ( Here we have 4 digit number and we get 4  or more digit number after 32 )

So,

Our number is
12 $\times$ 12  =  144
Compare with

AB $\times$ AB  =  AC4 , we get

A  =  1  , B  =  2 and C  =  4                                        ( Ans )