Question

daca a•b=120 si [a;b]=60 aflati a si b

Answer 1

[a,b]=60,

a×b=120

[a,b]×(a,b)=a×b

(a,b)=120:60=2

(a,b)=2, a=2k, b=2n

2×2×kn=120

kn=120:4

kn=30

kn=30: kn∈(1,30), (2,15), (3,10), (5,6)

deci

a si b =(2×1, 2×30) deci a=2, b=60

a si b =(2×2, 15×2) deci a=4, b=30

a si b =(2×3, 10×2) deci a=6 b=20

a si b =(2×5, 2×6) deci a=10, b=12