Question

afla numerele naturale x si y stiind ca (x,y)=48 si [x,y]=1008

Answer 1

x*y = 48*1008 = 48384

(x,y) = 48 rezulta x=48a si y=48b, cu (a,b) = 1
48a*48b = 48384
2304*a*b = 48384
a*b = 21
21 = 1*21 = 3*7 = 7*3 = 21*1

$(a,b)\in\{(1,21),(3,7),(7,3),(21,1)\}$
$(x,y)\in\{(48,1008),(144,336),(336,144),(1008,48)\}$