Răspunsuri

2014-11-09T21:38:28+02:00
(a;b)=12⇒a=12·n;  b=12·m,  si  (n;m)=1.

a·b=2160⇒12·n·12·m=2160⇒n·m=15 si avem urmatoarele posibilitati:

-     n=1 si m=15⇒a=12  si  b=12·15=180  (sau invers);

-     n=3  si m=5⇒a=36  si b=60  (sau invers).
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  • Utilizator Brainly
2014-11-09T22:15:57+02:00
(a,b)=12
a·b=2160
__________
a=?b=?
__________
a=12k
b=12p
12k·12p=2160
k·p=2160/12·12
k·p=15
k=3⇒a=36
p=5⇒b=60
___________
k=5⇒a=60
p=3⇒b=36
___________
k=15⇒a=180
p=1⇒b=12
____________
k=1⇒a=12
p=15⇒b=180

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