Question

Determinati nr a si b stiind ca (a,b)=17 a+b=102

Answer 1

(a,b)=17 a+b=102
(a,b)=17 => a=17xm si b=17xn; (m,n)=1
17xm+17xn=102    |:17
m+n=6
(m,n)={(1,5), (5,1)}
a=17x1 si b=17x5
sau a=17x5 si b=17x1
(a,b)={(17, 85), (85,17)}