Question

Determinati toate numerele naturale de forma abc , scrise in baza 10 care impartite la bc sa dea catil 5 se restul 4 .Va rog dau funda! :*

Answer 1

$\overline{abc}=\overline{bc}\cdot 5+4 \\ 100a+\overline{bc}=5\overline{bc}+4 \\ 4\overline{bc}=100a-4 \\ \overline{bc}=25a-1 \\ a=1=\ \textgreater \ \overline{bc}=24=\ \textgreater \ \overline{abc}=124$
$a=2=\ \textgreater \ \overline{bc}=49=\ \textgreater \ \overline{abc}=249 \\ a=3=\ \textgreater \ \overline{bc}=74=\ \textgreater \ \overline{abc}=374 \\ a=4=\ \textgreater \ \overline{bc}=99=\ \textgreater \ \overline{abc}=499$