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China Mathematical Olympiad 1987 problem6

Source: China Mathematical Olympiad 1987 problem6

January 10, 2014
analytic geometrynumber theory unsolvednumber theory

Problem Statement

Sum of mm pairwise different positive even numbers and nn pairwise different positive odd numbers is equal to 19871987. Find, with proof, the maximum value of 3m+4n3m+4n.
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