Problem: Points P and Q are on line segment AB, and both points are on the same side of the midpoint of AB. Point P divides AB in the ratio 2:3 and Q divides AB in the ratio 3:4. If PQ=2, then the length of segment AB is
Answer Choices:
A. 12
B. 28
C. 70
D. 75
E. 105
Solution:
AP=52AB and AQ=73AB∴PQ=(73−52)AB=AB/35=2∴AB=70.