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Let ABC be a triangle and let D, E, F be points on sides BC,CA, AB, respectively, such that AD, BE, CF BD CE

Let ABC be a triangle and let D, E, F be points on sides BC,CA, AB, respectively, such that AD, BE, CF BD CE AF are concurrent in X. Assume that the ratios are in the interval and that DC EA FB BD CE AF 31 Evaluate 5 DC EA FB CX XD XF

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