Points P and Q are in the line segment AB and on the same side of its midpoint. P divides AB in the ratio 2:3 and Q divides AB in the ratio 3:4. If PQ=2 cm, then find the length of the line segment AB.
How to identify two points P and Q on a line segment AB such that AP:PQ = 1:2 and PQ:QB = 4:5?