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Find the absolute value of the difference of single-digit integers A and B such that

ABA_6 + 411_6 = 1215_6

Express your answer in base 6.

 Jan 3, 2021
 #1
avatar+32013 
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             ABA

          + 411

   =      1215

 

we must have A + 1 = 5, so A = 4

Hence

          4B4

     +   411

  =    1215

 

or 4*62 + B*6 + 4 + 4*62 +  1*6 + 1 = 1*63 + 2*62 + 1*6 + 5 

 

I'll leave you to calculate B from this.

 Jan 3, 2021

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