Three concurrent straight lines are drawn from the angular points of A,B and C of the triangle ABC to meet the opposite sides at D,E and F respectively as shown in the figure, it is given that AF ∶ FB = 2 ∶ 3 and BD ∶ DC = 3 ∶ 5. Find AE ∶ EC.
1
5 ∶ 2
2
4 ∶ 5
3
3 ∶ 4
4
2 ∶ 5