Question

Aflati a,b si c stiind ca a,b in baza 10 -2,96 = 0,bc in baza 10

Answer 1

$\overline{a,b}-2,96=\overline{0,bc}|*100 \\ \\ \overline{ab0}-296=\overline{bc} \\ \\ 100a+10b-296=10b+c \\ \\ 100a+10b-10b-296=c \\ \\ 100a-296=c(1) \\ \\ Din \ (1) \ se \ deduce \ c=4 \\ \\ 100a-296=4 \\ \\ 100a=300 \\ \\ a=3 \\ \\ Din \ (1) \ deducem \ ca \ valoarea \ lui \ b \ nu \ conteaza \ deci \ b\in\{0,1,2,3,4,5,6,7,8,9\}$