Find the values of A, B, C when (A,B)x(B,A)=B,C,B

Question

Find the values of A, B, C when

\(\begin{equation} \frac{ \begin{array}[b]{r} A\,B\\ \times\,\, B\,A \end{array} }{ B\,C\,B } \end{equation}\)

Answer 1

A × B = B 

∴ A = 1 

∴ C = 1 + B² 

Also 1 + B² is a single digit. 

∴ B = 2 

C = ( 1 + B² ) = ( 1 + 4 ) = 5 

∴ A = 1, B = 2 and C = 5