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# If A/B = C/D Prove that Each of the Given Ratio is Equal to (13a - 8c)/(13b - 8d) - Mathematics

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#### Question

If a/b = c/d prove that each of the given ratio is equal to (13a - 8c)/(13b - 8d)

#### Solution

Let a/b = c/d = k

Then a = bk and c = dk

(13a - 8c)/(13b - 8d) = (13(bk) - 8(dk))/(13b - 8d) = (k(13b - 8d))/(13b - 8d) = k = each given ratio

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