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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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