E:16887: Revision history

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19 September 2025

  • curprev 19:2919:29, 19 September 2025Andrei.Horvat talk contribs 698 bytes +698 Created page with "'''E:16887 (Gheorghe Boroica)''' ''Suma a <math>90</math> de numere naturale este <math>2069</math>. Arătați că există, printre acestea, cel puțin trei numere egale.'' '''Soluție''' Fie <math>S</math> suma celor <math>90</math> de numere. Presupunem contrariul, deci printre cele <math>90</math> de numere, cel mult două numere pot fi egale. Atunci <math display="block"> S \ge \left(1+1\right) + \left(2+2\right) + \left(3+3\right)+\ldots +\left(45+45\right..."