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Eric1112
a fost răspuns

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

Răspuns :

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.
GabY0905
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]
[tex] \frac{x}{2}=20 [/tex]⇒[tex]x=20*2=40[/tex]
[tex] \frac{y}{3} =20[/tex]⇒[tex]y=20*3=60[/tex]
[tex] \frac{z}{4}=20 [/tex]⇒[tex]z=20*4=80[/tex]
[tex]R: x=40; y=60; z=80[/tex]