Points P and Q are on line segment AB, and both points are on the same side of the midpoint M of AB. Point P divides AB in the ratio 2:3 and Q divides AB in the ratio 3:4. If PQ = 2, then what is the length of AB?
AP = 
(AB) and AQ = 
(AB).
< so the positions as shown above are correct.
(AB) – (AB) = 2
→ 35 · ( (AB) – (AB)) = 35 · 2
→ 5 · 3(AB) – 7 · 2(AB) = 35 · 2
→ 15(AB) – 14(AB) = 70
→ AB = 70.
(AB) – (AB)) = 35 · 2→ 5 · 3(AB) – 7 · 2(AB) = 35 · 2
→ 15(AB) – 14(AB) = 70
→ AB = 70.