Question

Calculati suma tuturor numerelor naturale de trei cifre , care impartite la 31 dau restul 13

Answer 1

Raspuns:
x:31=c rest 13
x=31c+13
x-13=31c+13-13
x-13=31c
x-13∈M31
M31={31,62,93,124,155,186,217,248,279....}
x-13=93
x=93+13
x=106
106:31=3 rest 13  
x-13=124⇒x=137 
137:31=4 rest 13
x-13=155⇒x=168
168:31=5 rest13
x-13=186⇒x=199 
199:31=6 rest 13
=>numereler sunt:106,137,168,199.......