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Aflati numarul x,astfel incat 11+12+....+100 = 5(1000x-1)

Răspuns :

11+12+...+100=1+2+...+100-(1+2+...+10)=101x50-11x5=4995
4995=5(1000x-1)
999=1000x-1
1000=1000x =>x=1