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If (3x – 9) : (5x + 4) is the triplicate ratio of 3 : 4, find the value of x. - Mathematics

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प्रश्न

If (3x – 9) : (5x + 4) is the triplicate ratio of 3 : 4, find the value of x.

योग
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उत्तर

We have,

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

`=> (3x - 9)/(5x + 4) = 27/64`

`=> (3(x - 3))/(5x + 4) = 27/64`

`=>(x - 3)/(5x + 4)= 9/64`

`=>` 64x – 192 = 45x + 36

`=>` 19x = 228

`=>` x = 12

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