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In the figure below, OQ=q and OR=r. point X divides OQ in the ratio 1:2 and Y divides OR in the ratio 3:4. Lines XR and YQ intersect at E.
(a) Express in terms of q and r.
(b) If XE=mXR and YE=nYQ, express OE in terms of
(i) r, q and m.
(ii) r, q and n.
(c) Using the results in (b) above, find the values of m and n.