# RMO paper crease

Geometry Level 3

A square sheet of paper ABCD is so folded that B falls on the midpoint M of CD. Find the ratio in which the crease will divide BC. If your answer is the form $$x$$ $$\frac{y}{z}$$ ,where $$y$$ < $$z$$ and $$y$$ and $$z$$ are coprime. Give your answer as $$x+y+z$$.

Source: RMO 1990

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