Question

hallar los terminos desconocidos en la razon
a/3=b/12=c/24 a+b+c=26

Answer 1

solucion

a/3 = b/12 = c/24 =  k

entonces:

a = 3k

b = 12k

c = 24k

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a + b + c = 26

3k + 12k + 24k = 26

resolvemos

k(3 + 12 + 24) = 26

k(39) = 26

k = 26/39

k = 2/3

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reemplazamos en:

a = 3k => 3.(2/3) = 2

b = 12k =>12.(2/3) = 8

c = 24k =>24.(2/3) = 16