Răspuns:
Explicație pas cu pas:
* = inmultire, (x,y) insemna cmmmdc
a) (x,y) =10 inseamna x = 10*k si y = 10*m
10*k +10*m = 40 | :10
k +m = 4
k=1, m = 3, x =10*1=10, y = 10*3 = 30
k=2, m=2, x =20, y = 20
k=3, m=1, x =10, y =10
b) x= 9k, y = 9m
9k - 9m = 27 |:9
k -m = 3
k = 4, m = 1, x = 36, y = 9
k = 5, y = 2, x = 45, y = 18
k = 6, y = 3, x = 54, y = 27
k = 7, y = 4, x = 63, y = 36
k = 8, y = 5, x = 72, y = 45
Pt. k > 8 avem cmmmdc > 9
etc