Question

Impartiti un segment cu lungimea de 24 cm in trei parti direct proportionale cu numerele 1, 2 si 5.

Answer 1

a/1=b/2=c/5=(a+b+c)/(1+2+5)=24/8=3
a=3
b/2=3⇒b=6
c/5=3⇒c=15

Answer 2

a,b,c=numerele a+b+c=24 {a,b,c}d.p {1,2,5} ⇒a/1=b/2=c/5=(a+b+c)/(1+2+5)⇔a/1=b/2=c/5=24/8 ⇒a=24:8⇒a=3 ⇒b=(24*2):8⇒b=48:8⇒b=6 ⇒c=(24*5):8⇒c=3*5⇒c=15