Question

aflati numerele naturale a si b diferite de 12,stiind ca (a;b)=12,iar a×b=864

Answer 1

(a;b) = 12 ⇒ a=12x  ai b=12y  atunci:  
12x ×12y = 864 ⇒x×y=864/144 ⇒x×y=6 ⇒ (x;y) = {(1;6); (2;3); (3;2); (6;1)}   dar a,b≠12 ⇒(x;y) = {(2;3); (3;2)} 
⇒(a;b) = {(24;36); (36;24)}