Question on Triangles and the lines intersecting through it

[Rerocker]

Homework Statement

In triangle ABC, point L and M divides the sides AB and BC in the ratio 2:3 respectively. AM and LC intersect at point P. From point P a line parallel to BA is drawn intersecting at D. Find the ratio of AD:DC

The Attempt at a Solution

I have attached the picture of the triangle which is all I could make from the question. Please help me out

 

[Simon Bridge]

Please show your best attempt at the problem.
This helps us to best help you.

In triangle ABC, point L and M divides the sides AB and BC in the ratio 2:3 respectively.

"respectively" does not mean anything here.

Do you mean that |BL|/2=|LA|/3 and |BM|/2 = |MC|/3 or what?
Is ABC a scalene triangle?

Note: you can probably make headway just by carefully constructing a triangle and measuring.
You certainly want a sketch that better represents the situation.