E:15695: Revision history

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30 December 2023

27 December 2023

  • curprev 17:4217:42, 27 December 2023Fellner Arthur talk contribs 865 bytes +865 Pagină nouă: '''E:15695 (Cristina Vijdeluc şi Mihai Vijdeluc, Baia Mare)''' ''Aflaţi numerele de forma ''<math>\overline{ab},</math>'' ştiind că ''<math>\overline{aaa} \cdot b + \overline{bb} = 2020.</math> '''Soluție:''' Relaţia dată se scrie <math>111 \cdot a \cdot b + 11 \cdot b = 2020</math> sau <math>b(111a + 11) = 2020</math>. Divizorii lui <math>2020</math> sunt <math>1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010</math> şi <math>2020</math>. Cum <math>111a + 11 \ge 122,</...