Find the values of the letters in each of the following and give reasons for the steps involved

While adding A and B we get 9 i.e., a number whose ones digits is 9.

The sum can be 9 only as the sum of two single digit numbers cannot be 19.

Therefore, there will not be any carry in this step

In the next step, 2 + A = 0

It is possible only when A = 8

2 + 8 = 10 and 1 will be the carry for the next step.

1 + 1 + 6 = A

Clearly, A is 8.

We know that the addition of A and B is giving 9. As A is 8, therefore, B is 1

Hence, the addition is as follows:

Hence, the values of A and B are 8 and 1 respectively