Răspuns :

conform Teoremei Impartirii cu Rest=> D=I•C+R

d=i•c+r, unde i=11, deci r<11

cum c=r => c<11

Forma numerelor va fi : d=11•c+r, unde c=r , c,r<11

S= suma numerelor

S= (11•1+1) + (11•2+2) + (11•3+3) +...+ (11•10+10)

S= 11•1+ 11•2+ 11•3 +...+11•10 + 1+2+3...+10

S=11•(1+2+3+...+10) + (1+2+3+...+10)

S=(1+2+3+...+10)•(11+1)

S=(1+2+3+...+10)•12

[tex]s = \frac{10 \times 11}{2} \times 12[/tex]

S=10•11•12

S=1320