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Cate numere naturale de trei cifre impartite la 40 dau restul 17?
Aflati suma acestor numere


Răspuns :

 [tex]100\le\;M_{40}+17\le999\\ \Downarrow\\ 100:40=2,5\approx3\;\;\;si\;\;999:40=24,975\approx24\\ M_{40}+17\in\,\{3*40+17=137;4*40+17=177\;...\;24*40+17=977\}\\ numarul\;numerelor\;de\;3\;cifre\;conform\;cerintei\;sunt:\\ 24-3+1=\fbox{22}[/tex]

nr. sunt ... 3*40+17=137;4*40+17=177;5*40+17=217 ; ... ;23*40+17=937;24*40+17=977

S = 22*17+40*[+(1+2)+3+4+5+...+23+24 -(1+2)]=374+40*[24*25:2 - (3)]=
de aici cred ca te descurci !