+ 12085 + 12087 + 12089 = (12083 + 12089) + (12085 + 12087) = 24172 + 24172 = 48344

Fri, 17 Apr 2026 04:58:57 +0000

Breaking Down a Clever Mathematical Identity: Proving the Sum Equals 48,344 Mathematics often hides elegant patterns beneath seemingly simple numbers. One such intriguing example involves the sum of five odd integers:
12085 + 12087 + 12089 = (12083 + 12089) + (12085 + 12087) = 24172 + 24172 = 48344 This identification reveals not just a numerical equation, but a demonstration of symmetry and strategic grouping in arithmetic. In this article, we’ll explore how this identity works step-by-step, why it’s mathematically sound, and the teaching value it holds for students and educators alike. ---