Question

Dividir 60 em três partes inversamente proporcionais a 3, 6 e 8

Answer 1

x/3 + x/6 + x/8 = 60 -------- (8x + 4x + 3x)/24 = 60  ------ 15x/24 = 60

15x = 60 . 24 ------ 15x = 1440 ------- x = 1440/15 ----- x = 96


96/3 ------- 32

96/6 ------- 16

96/8 ------- 12

(12, 16, 32)

Answer 2

x/3+x/6+x/8=60
8x+4x+3x/24=60
15x=60*24
15x=1440
x=1440/15
x=96

x=96/3
x=32 (1)

x=96/6
x=16 (2)

x=96/8
x=12 (3)
Resposta: 32, 16 e 12