Question

determinati nr nat a si b stiind ca c.m.m.d.c al lor este 6 iar suma 42

Answer 1

a+b=42 (a,b)=6=>a=6m si b=6n;(m,n)=1 6m+6n=42 (impartim la 6) m+n=7 Dupa facem un tabel: m n 0 7 1 6 2 5 3 4 4 3 5 2 6 1 7 0 1.M=0=>a=6•0=0 N=7=>b=6•7=42 2.m=1=>a=6•1=6 N=6=>b=6•6=36 Si tot asa =>S(x,={(0,4),(6,36),(12,30),(18,24),(24,18),(30,12),(36,6),(42,0)