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

(A,1) + (1,B) = (B,0)

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The addition of 1 and B is giving 0 i.e., a number whose ones digits is 0. This is possible only when digit B is 9. In that case, the addition of 1 and B will give 10 and thus, 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.

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