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

35_6 + A_6 = B1_6

Express your answer in base 6.

Convert these to base 10.

the base 10 equation is A=6B-22

it was base 6 so A and B must both be 0,1,2,3,4,or5

so solve this.

\(0\le6B-22\le5\)

there is only one possible answer.

Then solve for A