Question

a,b apartine multimea nr nat. (a,b)=7 a+b=35 a=? b=?​

Answer 1

Răspuns:

(a,b)=7=k×7(a), l×7(b)

a+b=35

7×k+7×l=35

7(k+l)=35==k+l=5

Dam valori

1. K=0 l=5 == a=0 b=35

2. K=1 l=4 == a=7 b=28

3. K=2 l=3== a=14 b=21

4. K=3 l=2 == a=21 b=14

5. K=4 l=1 == a=28 b=7

6 K=5 l=0== a=35 b=0