Question

daca (a,b)=4 iar [a;b]=24
atunci cea mai mare valoare a lui : a+b este?

Answer 1

(a;b)=4
a=4n
b=4m, (n;m)=1 prime intre ele
[a;b]=24
n x m x 4=24
n x m=6
n=1, m=6, a=4, b=24, a+b=28
n=2, m=3, a=8, b=12, a+b=20
n=3, m=2, a=12, b=8, a+b=20
n=6, m=1, a=24, b=4, a+b=28
de aici concluzia e clara