Question given below:
Solution 1:
Solution 2:
Solution 3:
Solution 4:
Draw a line from D parallel to BE cutting AC at P.
CDP and CBE are similar.
EP/EC = BD/BC = 3:5
Also, AFE and ADP are similar.
AE/EP = AD/FD = 2:1
Multiply both the equation from the top, so AE/EC = 6:5.