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# If (3x – 9) : (5x + 4) is the Triplicate Ratio of 3 : 4, Find the Value of X. - ICSE Class 10 - Mathematics

#### Question

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

#### Solution

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)= 27/64

=> 64x - 192 = 45x + 36

=> 19x = 228

=> x = 12

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Solution If (3x – 9) : (5x + 4) is the Triplicate Ratio of 3 : 4, Find the Value of X. Concept: Ratios.
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