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