An integer n written in base b is 211 and 110
written in base b+2. Find n and b in base 10.   

(In reply to solution by Charlie)

I don't know if a negative base makes too much sense, but your quadratic equation has another solution: b=-1

211 in base -1 can be interpreted as 2(-1)^2 + 1(-1) + 1 =2
110 in base 1 can be interpreted as a tally 1(1) + 1(1) + 0 = 2

I'm not saying this should count as a solution, but it find it interesting.

Posted by Jer on 2016-03-17 11:10:59