Question

Determinar a, b y c en: 4/a = 8/b = 16/c Si: a + b + c = 35

Answer 1

Respuesta:

a= 5

b= 10

c= 20

Espero que te sirva

Explicación paso a paso:

$\frac{4}{a} = \frac{8}{b} = \frac{16}{c} \\a+b+c = 35\\\\\frac{4}{a}= \frac{8}{b} \\ 4b=8a\\2a= b\\\\\\\frac{8}{b} = \frac{16}{c} \\8c= 16b\\c= 2b\\\\a+2a+c= 35\\3a+c = 35\\3(\frac{c}{4}+c = 35\\c= 20\\\\c= 2b\\20= 2b\\10=b\\\\a+b+c=35\\30+a=35\\a=5$