Răspuns :
(a;b)=17
a=17m b=17n
(m;n)=1
17m+17n=85
17(m+n)=85
m+n=5
m n
1 4
2 3
3 2
4 1
1)m=1 =>a=17*1=17
n=4 =>b=17*4=68
2)m=2 =>a=17*2=34
n=3 =>b=17*3=51
3)m=3 =>a=17*3=51
n=2 =>b=17*2=34
4)m=4 =>17*4=68
n=1 =>17*1=17
<=>S={(17;68);(34;51);(51;34);(68;17)}
a=17m b=17n
(m;n)=1
17m+17n=85
17(m+n)=85
m+n=5
m n
1 4
2 3
3 2
4 1
1)m=1 =>a=17*1=17
n=4 =>b=17*4=68
2)m=2 =>a=17*2=34
n=3 =>b=17*3=51
3)m=3 =>a=17*3=51
n=2 =>b=17*2=34
4)m=4 =>17*4=68
n=1 =>17*1=17
<=>S={(17;68);(34;51);(51;34);(68;17)}