[tex]\overline{ab}=14(a-b)+2 \;\;\; (teorema \; impartirii \; cu \; rest)\\
10a+b=14a-14b+2| -10a\\
b=4a-14b+2| +14b\\
15b=4a+2\Rightarrow b=\dfrac{4a+2}{15} ; \\
b \in \mathbb{N} \Rightarrow 4a+2 \in M_{15}\\
4a+2=0 \Rightarrow a=\dfrac{-2}{4}-nu\;convine \\
4a+2=15 \Rightarrow a=\dfrac{13}{4}-nu\;convine\\
4a+2=30 \Rightarrow a=\dfrac{28}{4}=7\Rightarrow b=2 \Rightarrow \overline{ab}=72\\
[/tex]
