Posted by Jim on .
Is it possible for AB = 10, BC = 2x + 5 and AC = 5x, given that point B is the midpoint?
If you are talking about lengths of a line segment ABC, with B the midpoint, then
AB + BC = AC
15 + 2x = 5x
3x = 15
x = 3.
But also we must have
AB = BC for B to be a midpoint
10 = 2x + 5
x = 2
So no solution is possible.

Geometry 
natu,
x=5