Question

Numerele 47.53.64impartite la acelasi numar natural nenul n dau resturile 2,3,4 .Determinati n

Answer 1

n=5 deoarece
$\frac{47}{5}$ = 9 rest 2
$\frac{53}{5}$ = 10 rest 3
$\frac{64}{5}$ = 12 rest 4

Answer 2

[tex]47=x\cdot c_1+2|-2\\ 53=x\cdot c_2+3|-3\\ 64=x\cdot c_3+4|-4\\ x\ \textgreater \ 4\\ 45=x\cdot c_1\\ 50=x\cdot c_2\\ 60=x \cdot c_3\\ x |(45,50,60)=5; x\ \textgreater \ 4\\ x=5[/tex]