Question

Si 5/a= 3/b=4/c
Y a.b.C= 12 960
Calcular (a+b+c)

Answer 1

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

(a)(b)(c)=12960
(5k)(3k)(4k)=12960
60k³=12960
k³=12960/60
k³=216
k=∛216
k=6

reemplazamos el valor de "k"
a=5k=5(6)=30
b=3k=3(6)=18
c=4k=4(6)=24
∴a+b+c
  30+18+24=72