Any input on some good numbers that can be used to solve this problem? I used various integers (which I assume may be my error) and found that only m=6 and n=18 work. Can someone help explain where my logic is incorrect?

Thanks

SummerCourse, since the natural instinct is to try only positive values for m and r, this is a very tricky problem.

Statement (1) tells us that r = 3m or r = -3m (as either case would result in an r with an absolute value that is three times that of m). Insufficient. Eliminate AD from AD/BCE Grid.

Statement (2) tells us that (r+m)/2 = 12. Insufficient. Eliminate B from remaining BCE Grid.

By substituting each equation from Statement (1) into the equation from Statement (2), the statements together tell us that 3m + m = 24, so m = 6 and r = 18, or that -3m + m = 24, so m = -12 and r = 36. As there are still two possible values for r, the correct answer is E.

Hope that helps!
-dan

Dan,

Thanks for the explanation. I apprecaite your help.