Problem: Points P and Q are both in the line AB and on the same side of the midpoint of line AB. P divides AB in the ratio 2:3 and Q divides AB in the ratio 3:4. If PQ=2, then the length of AB is:
Answer Choices:
A. 60
B. 70
C. 75
D. 80
E. 85
Solution:
Since P divides AB in the ratio 2:3, AP:AB =2:5 and AQ:AB=3:7∴ABAQ−AP​=351​.
Since PQ=AQ−AP=2,AB=70.