AMC 12B 2015 Problem 12

Past Contests AMC 12 AMC 12B - 2015
, , , ,
1

Let a, b, and c be three distinct one-digit numbers. What is the maximum value of the sum of the roots of the equation (x-a)(x-b)+(x-b)(x-c)=0 ?

Answer Choices
A. 15
B. 15.5
C. 16
D. 16.5
E. 17