Question

a) Det. Nr. Nat. de forma 4a6b divizibile cu 18
b) Det. nr. Nat. De forma 8a9b care dau restul 1 la impartirea cu 5
c) Det. Nr. Nat de forma 1339ab divizibile cu 13
d) Det. Nr. Nat de forma 28ab14 divizibile cu 14
Ma ajutati va rog ? Dau coroana !

Answer 1

[tex]\overline{4a6b}\vdots18\ daca\ \overline{4a6b}\vdots2\ si\ \overline{4a6b}\vdots9\\ \overline{4a6b}\vdots2=\ \textgreater \ b\in\{0,2,4,6,8\}\\ \ \overline{4a6b}\vdots9=\ \textgreater \ \ daca\ (4+a+6+b)\vdots9=\ \textgreater \ (10+a+b)\vdots9\\ 1)b=0=\ \textgreater \ a=8\\ 2)b=2=\ \textgreater \ a=6\\ 3)b=4=\ \textgreater \ a=4\\ 4)b=6=\ \textgreater \ a=2\\ 5)b=8=\ \textgreater \ a=0[/tex]