Is the Given Information Sufficient?

Geometry Level 4

Let OO be a point inside ABC \triangle ABC such that

OCOE=103   and   OAOD=94.\dfrac{OC}{OE}=\frac{10}{3} ~~~\text{and} ~~~\dfrac{OA}{OD}=\frac{9}{4}.

If

BEEA+BDDC=mn,\dfrac{BE}{EA}+\dfrac{BD}{DC}=\dfrac{m}{n},

where gcd(m,n)=1\gcd(m,n)=1, find the value of m+n2m+n-2.

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