Din (a,b)=36 ⇒ 36|a si 36|b ⇒ a=36x si b=36y
a+b=324
36x+36y=324
36(x+y)=324
x+y=9
pt x=1 si y=8 ⇒a=36, b=288
pt. x=2 si y=7 ⇒a=72, b=252
pt. x=3 si y=6 ⇒a=108, b=216
pt. x=4 si y=5⇒a=144, b=180
pt. x=5 si y=4⇒ a=180, b=144
pt. x=6 si y=3 ⇒a=216, b=108
pt. x=7 si y=2 ⇒a=252, b=72
pt x=8 si y=1⇒a=288, b=36
Solutie:
(a,b)∈(36,288),(72,252),(108,216), (144,180), (180,144), (216,108),(252,72), (288,36)
