Home/ Intrebari/Q 70459
Urmator
In Process

AniDeȘcoală.ro Latest Intrebari

blackknight
Pe: 2010-10-17T13:20:43+03:00 In: In:

C.m.m.m.c–Algebra–

Determinati cel mai mic si cel mai mare numar natural de trei cifre care impartite pe rand la 8,12,21 dau acelasi rest diferit de zero.

Multumesc anticipat!!!

Similare

2 raspunsuri

  1. dan
    expert (VI)

    blackknight wrote: Determinati cel mai mic si cel mai mare numar natural de trei cifre care impartite pe rand la 8,12,21 dau acelasi rest diferit de zero.

    Multumesc anticipat!!!

    \rm{ Se cere determinarea numerelor de forma \overline{abc} asfel ca \overline{abc} : \{8=a (rest r_1=\{1;2;3;4;5;6;7\})\\ 12=b (rest r_2=\{1;2;3;4;5;6;7; ... ;11\}) si \\ 21=c (rest r_3=\{1;2;3;4;5;6;7;... ; 20\})
    \rm{deci r=r_1\cap{r_2}\cap{r_3}=\{1;2;3;4;5;6;7\} \Rightarrow \overline{abc}-r=[8;12;21]=168\\ adica \overline{abc}=M_{168}+r=\{1\cdot168+1=169_{minim} ; ... ; 5\cdot168+7=847_{maxim} \}

  2. blackknight

    Multumesc!!!!!!!!!!!!

Raspunde

Raspunde