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AMO 2016 Grade 6 Question 24

AMO · AMO 2016 Grade 6

Question 24

A, B, C and D represent the numbers 3, 5, 7 and 9, in some order. We also know that $(A+B)/(C+D)=(D+C)/(B+A)$. Find the value $(A × B) + (C × D)$.