Question

Determinați numerele a si b stiind ca: (a,b)=8 si a×b=960.​

Answer 1

(a, b) =8

a=8x

b=8y

(x, y) =1

a•b=960

8x•8y=960

64•xy=960

xy=960:64

xy=15

(x, y) ={(1,15),(3,5),(5,3),(15,1)}

=>(a, b) =(8,120),(24,40),(40,24),(120,8)}