Question

Aflati numere naturale a si b daca suma lor este 60, iar c.m.m.d..c al lor este 15

Answer 1

(a;b)=15   a+b=60    a=?   b=?
(a;b)=15⇒a=15c si b=15d ; (c;d)=1
a+b=60
15c+15d=60⇒15(c+d)=60⇒c+d=60:15

c+d=4

1)c=1⇒a=15c=15
   d=3⇒b=15d=45

2)c=2  ⇒a=15×2=30
   d=2  ⇒b=15×2=30