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SandyM
a fost răspuns

Aflati numerele naturale m si n , stiind ca:
a) m+n=24 si (m,n)=8
b)m+n=45 si (m,n)=9

Răspuns :

Danamocanu71
a. m+n=24;
m=8k;
n=8y;
⇒k+y=3⇒k,y=[[1,2],[2,1],[0,3],[3,0]]⇒4 variante de raspuns;
⇒m=[8,16,0,24];
respectiv n=[8,16,0,24];
⇒m,n=[[8,16],[16,8],[0,24],[24,0]];
b. m+n=45;
m=9k;
n=9y;
⇒k+y=5⇒k,y=[[0,5],[1,4],[2,3],[3,2],[4,1],[5,0]]⇒6 variante de raspuns;
⇒m,n=[[0,45],[9,36],[18,27],[27,18],[36,9],[45,0]];

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