Question

Como dividir 52 em partes inversamente proporcionais a 2, 3 e 4?

Answer 1

$\mathbb{MMC}(2,3,4)=12$

$\dfrac{1}{2}\times12=6$

$\dfrac{1}{3}\times12=4$

$\dfrac{1}{4}\times12=3$

$\dfrac{a}{6}=\dfrac{b}{4}=\dfrac{c}{3}=k$

$a=6k\\b=4k\\c=3k$

$k=\dfrac{52}{6+4+3}=\dfrac{52}{13}=4$

$\bf{a=6.4=24}\\\bf{b=4.4=16}\\\bf{c=3.4=12}$

Answer 2

Resposta:

Explicação passo-a-passo:

A/2=b/3=c/4=52

A/½=b/⅓=c/¼=52/13/12

2a=3b=4c=48

2a=48

a=24

3b=48

b=16

4c=48

C=12