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Answer :
We have condition as:
B+1=0 i.e, B must be 9 to get 0 at unit's digit of the addition.So, we got B=9
Also we have A+1+1(carry)=B
\(\Rightarrow\) A+2=9
\(\Rightarrow\) A=7
Hence, we have A=7 and B=9