Question

Points P and Q are both in the line segment AB and on the same side of its midpoint. P divides AB in the ratio 2:3 nand Q divides AB in the ratio 3:4 if PQ=2cm then find the length of AB

Answer 1

Given,

          P divides AB in ratio 2:3 = 2 + 3

          Q divides AB in ratio 3:4 = 3 + 4

           PQ= 2cm

Solution,

            AP = 2 / (2+3)

            AP = 2 / 5

            AQ = 3 / (3 + 4)

            AQ = 3 / 7

            PQ = 2cm = AQ - AP

            PQ = 3/7 - 2/5

             PQ = 1 / 35

             PQ = 2cm

             2 = 1 / 35

            35 * 2 = 70cm

          Therefore, Line AB is 70cm