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Question

  4A 4BA +AAB1BBB
A=___;B=___;


Solution

For A + A + B = B, A can be 0 or 5.

A=0A=5If A=0,4+B+A=BIfA=5,A+A+B=B4+B=B10+B=BB can only be 0.B can be anything from 0 to 9 except 5But A=0;We have 1 carry for 2nd columnHence B cant be zero.No two letters can represent same digits.1+4+B+A=B Carry 10+B=B Similarly, for 3rd column 1+4+A=B Carry 10=BB=0 A=5;B=0

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