Question

Si a . b . c =1008, hallar "a+b+c" en:
a/30 = b/35 = c/15

Answer 1

1008 es  igual a 2^4.3^2.7
a = 30k
b = 35k
c = 15k
k^3.5^3.3^2.7.2 = 2^4.3^2.7
(k.5)^3 = 2^4-1
(k.5)^3=2^3
5k = 2
ahora solo reemplazas y te queda 80k = a mas b mas c = 5k(16) = 2(16) = 32.