Question

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$\frac{a}{2} = \frac{b}{3} = \frac{c}{4} \: \: \: \: a + c = 24$

Answer 1

DATOS:

a = 2k

b = 3k

c = 4k

a + c = 24

RESOLUCIÓN:

2k + 4k = 24

6k = 24

k = 4

RPTA: k = 4

Entonces:

a = 2(4) = 8

b = 3(4) = 12

c = 4(4) = 16

ESPERO QUE TE SIRVA :D

Answer 2

Hola!!☺☺

$\frac{a}{2} = \frac{b}{3} = \frac{c}{4} = k \\ \\ a = 2k \\ b = 3k \\ c = 4k$

Pero a + c = 24

$a + c = 24 \\ \\ 2k + 4k = 24 \\ \\ 6k = 24 \\ \\ k = 4$

Los números serán

$a = 2k = 2(4) = 8 \\ \\ b = 3k = 3(4) = 12 \\ \\ c = 4k = 4(4) = 16$