Question

1. (a,b)=7 si axb=588

2. (a,b)=18 si a+b=324

Answer 1

1. (a;b)=7 => a=7x si b=7y (x;y)=1 7x • 7y = 588 49xy=588 xy=12 => x=1 si y=12 (si invers) x=3 si y=4 (si invers) asta pt ca am mentionat mai sus ca (x,y)=1 2. (a,b)=18 => a=18x si b=18y (x,y)=1 18x + 18y = 324 18(x+y)=324 x+y=18 => x=1 si y=18 (si invers) x=5 si y=13 (si invers) x=7 si y=11 (si invers)