Math Olympiad for Elementary | 2016 | Division E | Contest 3 | MOEMS | 3D

Problem: A, B, C, and D represent the numbers 2, 4, 6, and 8 in some order. We also know that A + B / C + D = D + C / B + A. Find the value of (A x B) + (C x D).

Key: Realizing that the two fractions are reciprocals, and the concepts that come with reciprocals.