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If 4x + 4 : 9x – 10 is the Triplicate Ratio of 4 : 5, Find X. - Mathematics

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Question

If 4x + 4 : 9x – 10 is the triplicate ratio of 4 : 5, find x.

Solution

`(4x +4)/(9x - 10) = (4)^3/(5)^3`

`(4x +4)/(9x - 10) = 64/125`

500x + 500 = 576x - 640
576x - 500x = 500 + 640

76x = 1140

x = `(1140)/76 = 15`

 

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If 4x + 4 : 9x – 10 is the Triplicate Ratio of 4 : 5, Find X. Concept: Ratios.
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