Question

Imparte numarul 180 in parti direct proportionale cu numerele 2,3 si 4

Answer 1

Fie partile x,y,z, atunci

x/2=y/3=z/4, de unde

(x+y+z)/9=180/9=20

x/2=20, x=40
y/3=20, y=60
z/4=20, z=80

Raspuns: 40,60,80.

Answer 2

Notam aceste parti cu x;y;z.
[tex] \frac{x}{2}= \frac{y}{3}= \frac{z}{4}= \frac{x+y+z}{9}= \frac{180}{9}=20 [/tex]
$\frac{x}{2}=20$⇒$x=20*2=40$
$\frac{y}{3} =20$⇒$y=20*3=60$
$\frac{z}{4}=20$⇒$z=20*4=80$
$R: x=40; y=60; z=80$