Question

Determina cifrele a și b din egalitatea
398-22×a=bbb ( b are lini deasupra lui)
ATENTIE!!!! Cine răspunde f corect primește 40pcte

Answer 1

[tex]398-22\cdot a=\overline{bbb}\\ 22a=398-\overline{bbb}\\ Deoarece\ 398-\overline{bbb}\ \textgreater \ 0\Rightarrow b\in \{1,2,3\}\\ Dac\breve{a}\ b=1\Rightarrow 22a=287\Rightarrow a=\dfrac{287}{22}\notin \mathbb{N}\\ Dac\breve{a}\ b=2\Rightarrow 22a=176\Rightarrow a=8\\ Dac\breve{a}\ b=3\Rightarrow 22a=65(nu\ convine)\\ S:(a,b)=(8;2)[/tex]