While adding B and 1 we get 8 i.e., a number whose ones digits is 8.

This is only possible when digit B is 7.

In that case, the addition of B and 1 will give 8.

In the next step,

A + B = 1

Clearly, A is 4

4 + 7 = 11 and 1 will be a carry for the next step.

In the next step,

1 + 2 + A = B

1 + 2 + 4 = 7

Therefore, the addition is as follows:

Hence, the values of A and B are 4 and 7 respectively