Let us have four distinct collinear points A, B, C and D on the Cartesian plane. The point C is such that AB/CB =1/2 and the point D is such that DA/BA = 3 and DB/BA = 2. If C = (0, 4), D = (4, 0) and A = (x,y) what is the value of 2x+y?
The answer is 17.
