# That's confusing

Geometry Level 4

Let $$\triangle ABC$$ be a triangle. Let point M be the point on BC that divided BC equally. Let D and E be points on AC that divided AC into three equal part.

F and G are points of intersection between AM and BD and BE, respectively.

If $$AF:FG:GM=a:b:c$$ and a,b,c are co-prime number.

Find $$a+2b+3c$$

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