Question

Aflati cate numere de trei cifre impartite la 37 dau restul 9 si calculati suma acestor numere

Answer 1

100≤n≤999

n=37•c+9

100≤37•c+9≤999

91≤37•c≤990

=> c={3,4,5….26},   deci, 24 de numere

n={3•37+9, 4•37+9, 5•37+9,…….,26•37+9}

n={120, 157, 194,……, 971}

Suma =3•37+9 + 4•37+9 + 5•37+9 + …….+ 26•37+9

Suma =37(3+4+5+….+26)+ 24•9

Suma=37•24•(3+26)/2 +216

Suma=12876+216

Suma=13092