Question

Exercițiul 34. Repede. Dau coroana si 10 puncte ❤️​

Answer 1

 

$\displaystyle\bf\\34)\\a)\\Daca~2\cdot\overline{ab}=\overline{cd}~aratati~ca~\overline{abcd}~\vdots~17.\\\\Rezolvare:\\\\\overline{abcd}=\overline{ab00}+\overline{cd}=\overline{ab00}+2\cdot\overline{ab}\\\\\overline{ab00}+2\cdot\overline{ab}=100\cdot\overline{ab}+2\cdot\overline{ab}=102\cdot\overline{ab}=\boxed{\bf17\cdot6\cdot\overline{ab}~\vdots~17}$

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$\displaystyle\bf\\b)\\Daca~6\cdot\overline{ab}=\overline{cd}~aratati~ca~\overline{abcd}~\vdots~53.\\\\Rezolvare:\\\\\overline{abcd}=\overline{ab00}+\overline{cd}=\overline{ab00}+6\cdot\overline{ab}\\\\\overline{ab00}+6\cdot\overline{ab}=100\cdot\overline{ab}+6\cdot\overline{ab}=106\cdot\overline{ab}=\boxed{\bf53\cdot2\cdot\overline{ab}~\vdots~53}$