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determinati forma abc numar stiind ca impartite la bc numar dau catul 6 si restul 5

Răspuns :

abc : bc = 6   rest 5

abc=6•bc+5

100a+bc=6•bc+5

100a-5=5•bc  

5bc=100a-5   |:5

bc=20a-1

a=1 => bc=20-1=19 => abc=119

a=2 => bc=40-1=39 => abc=239

a=3 => bc=60-1=59=> abc=359

a=4=> bc=80-1=79 => abc=479

a=5 => bc=100-1=99 => abc=599

abc∈{119; 239; 359; 479; 599}