# Is the Given Information Sufficient?

Geometry Level 4

Let $$O$$ be a point inside $$\triangle ABC$$ such that

$\dfrac{OC}{OE}=\frac{10}{3} ~~~\text{and} ~~~\dfrac{OA}{OD}=\frac{9}{4}.$

If

$\dfrac{BE}{EA}+\dfrac{BD}{DC}=\dfrac{m}{n},$

where $$\gcd(m,n)=1$$, find the value of $$m+n-2$$.

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