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.
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