Replace A, B by suitable numerals.\(\begin{equation}\frac{\begin{array

1.	Replace A, B by suitable numerals.\(\begin{equation}\frac{\begin{array}[b]{r}A\\+\,\,A\\+\,\,A\\\end{array}}{B\,\,A}\end{equation}\)
Answer» 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

Replace A, B by suitable numerals.\(\begin{equation}\frac{\begin{array}[b]{r}A\\+\,\,A\\+\,\,A\\\end{array}}{B\,\,A}\end{equation}\)

Answer»

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