Question

Dividir o numero 396 em partes inversamente proporcionais a 2,4 e 6.

Answer 1

396 inversamente a 2, 4, 6
1/2 , 1/4 , 1/6 
achar o mmc ,  elevar ao mesmo denominador e depois  eliminar o mmc
mmc = 12
6/12 ,  3/12 , 2/12 
dividir  396 diretamente a  6, 3 , 2 
a/6 = b/3 = c/2 = ( a + b + c)/ ( 6 + 3 + 2) = 396/11 = 36/1
a/6 = 36/1
a = 6 * 36 = 216 ***

b/3 = 36/1
b = 36 * 3 = 108 ***

c/2 = 36/1
c = 36 * 2 = 72 ***

Answer 2

X/1/2=y/1/4=z/1/6=k
X/1/2=k y/1/4=k z/1/6=k
X=k/2 y=k/4 z=k/6

X+y+z=396
K/2+k/4+k/6=396
6k+3k+2k/12=4752/12
11k=4752
K=4752/11
K=432

X=k/2 y=k/4 z=k/6
X=432/2 y=432/4 z=432/6
X=216 y=108 z=72