Răspuns
a)m obtinut alta relatie
b)≅71,43%
c) a=1,75...b=1,3125..c=2,1875
Explicație pas cu pas:
a)
(a+b)/7=(b+c)/8=(c+a)/9=2(a+b+c)/ (7+8+9)=2(a+b+c)/24=(a+b+c)/12=k
(a+b)/7=(a+b+c)/12
12a+12b=7a+7b+7c
7c=5(a+b)
c= 5(a+b)/7
b)
c/(a+b) =5/7=x/100.x=500/7=71,(428571)%
c) a+b+c=3*1,75=5,25
k=5,25/12=0,4375
a+b=7*0,4375=3,0625⇒c=5,25-3,0625=2,1875
b+c=8*0,4375=3,5⇒a=5,25-3,5=1,75
c+a=9*0,4375=3,9375⇒b=5,25-3.9375=1,3125
