+0  
 
0
47
1
avatar

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.

 Dec 21, 2021
 #1
avatar+75 
+1

ABA6+4116=12156

Although there are other ways to do this, I would start by converting the two right values to base ten.

The now converted equation is:

ABA6+15110=29910

If we then subtract 151 from both sides, we get:

ABA6=148
We can then use the equation 36A+6B+A=148, which simplifies to 
37A+6B=148

The only non-extraneous values that work for this equation are A=4 and B=0

4-0=4, which makes the answer 4.

 Dec 21, 2021

9 Online Users