Replace A, B by suitable numerals. (A)+(A)+(A)=B,A

Question

Replace A, B by suitable numerals.

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

Answer 1

Here, in units place, 

A + A +A = A Ie. 3A = A, 

ie. 3 = 1 which is wrong. 

Hence A is greater than 10, where, 1 carry is given to tens place. 

∴ A + A + A = A + 10 

∴ 3A = A + 10 

∴ 2A = 10 

∴ A = 5 

Now, in tens place, 

B = 1 … as 1 is carried