Question

2. Aflați numerele x si y, stiind ca sunt direct proportionale cu 2 si 3 si c.m.m.m.c este 36.​

Answer 1

Răspuns:

,y} d.p. {2,3} ⇒x/2 = y/3 = k

c.m.m.m.c. (x,y) = 36

x/2 = k ⇒ x = 2k

y/3 = k ⇒y = 3k

2k * 3k = 36

6k = 36

k = 36 : 6

k = 6

x/2 = 6 ⇒ x = 2 * 6 ⇒ x = 12

y/3 = 6 ⇒ y = 3 * 6 ⇒ y = 18

Answer 2

Răspuns:

{x,y}d.p.{2,3}=>x/2=y/3=k

c.m.m.m.c.(x,y)=36

x/2=k=>x=2k

y/3=k=>y-3k

2k*3k=36

6k=36

k=36

k=36:6

k=6

x/2=6=>x=2*6=>x=12

y/3=6=>y=3*6=>y=18