Question

(a,b)=15
a+b=105
Imi explica cineva cum trebuie facuta?

Answer 1

(a,b)=15
a+b=105
a=105:15=17

Answer 2

(a,b)=15; a+b=105
(a,b)=15=> a=15xm si b= 15xn, unde (m,n)=1
vom avea suma 15m+15n=105
15(m+n)=105  |:15
m+n=7
(m,n)={(1,6), (2,5),(3,4),(4,3),(5,2),(6,1)}
a=15xm si b=15n
=> (a,b)={(15,90),(30,75),(45,60),(60,45),(75,30),(90,15)}