Question

suma a trei numere este de 720 aflaţi numerele daca ele sunt proporţionale cu numerele 3 ,4 si 5​

Answer 1

Explicație pas cu pas:

(x,y,z) d.p. (3,4,5) => x/3=y/4=z/5=k

x/3=k=>x=3k=>x=3×60=180

y/4=k=>y=4k=>y=4×60=240

z/5=k=>z=5k=>z=5×60=300

x+y+z=720

3k+4k+5k=720

12k=720 |÷

k=60

Answer 2

a+b+c= 720

(a, b, c) d.p. (3,4,5) =>

a/3=b/4=c/5=k

a= 3k

b=4k

c=5k

a+b+c=720

3k+4k+5k=720

12k=720 /:12

k= 60

a= 3k= 3×60=180

b= 4k= 4×60=240

c= 5k= 5×60=300