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Si : [tex] \ frac{a}{6} [ / tex] = b / 3 = c / 4 = k ; donde a + b - c = 35, hallar a + b?

Si : [tex] \ frac{a}{6} [ / tex] = b / 3 = c / 4 = k ; donde a + b - c = 35, hallar a + b.

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Solución : Tenemos : a / 6 = b / 3 = c / 4 = k a = 6k b = 3k c = 4k a + b - c = 35 6k + 3k - 4k = 35 5k = 35 k = 7 a = 6k = 6(7) = 42 b = 3k = 3(7) = 21 a + b = 63.

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Solución :

Tenemos : a / 6 = b / 3 = c / 4 = k

a = 6k

b = 3k

c = 4k

a + b - c = 35

6k + 3k - 4k = 35

5k = 35

k = 7

a = 6k = 6(7) = 42

b = 3k = 3(7) = 21

a + b = 63.