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If the digits represented by $A$ and $B$ satisfy the following subtraction problem 

$$ \begin{array}{c@{}c@{\;}c@{}c@{}c@{}c} & & & & A & B_4\\ &- & & & B & A_4\\ &&&&-&-&\\ & & & & & 3_4\\ \end{array} $$

what is the nonnegative difference of the digits represented by $A$ and $B$?

 Jul 1, 2021
 #1
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+1

    214    =    2 (4) + 1   =  910

 -  124   =     1(4)  + 2   =  610

                                      ____

                                         310  =  34

 

A  -  B  =   

2  -  1   = 

    1

 

 

cool cool cool

 Jul 1, 2021

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