Question

Aflati a,b apartine N daca a|b si a+b=35

Answer 1

daca a|b inseamna ca exista k∈N*, asa fel incat
b=ka
atunci ka+a=35
(k+1)a=35=1*35=5*7=7*5=35*1
k+1=1...a=35⇒b=0
k+1=5, k=4  a=7 si⇒ b=28
k+1=7, k=6 a=5 si⇒ b=30
k+1=35  a=1si⇒ b=34

deci (a;b)∈{ (35;0);(7;28);(5;30) (1;34)}