While adding 1 and B we get 0 i.e., a number whose ones digits is 0.

This is only possible when digit B is 9.

In that case, the addition of 1 and B will give 10 and, 1 will be the carry for the next step.

In the next step,

1 + A + 1 = B

Clearly,

A is 7 as 1 + 7 + 1 = 9 = B

Therefore, the addition is as follows:

Hence, the values of A and B are 7 and 9 respectively