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

Sum

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

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Solution

We have,

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

⇒ `(3"x" - 9)/(5"x" + 4) = 27/64`

⇒ `(3("x" - 3))/(5"x" + 4) = 27/64`

⇒ `("x" - 3)/(5"x" + 4) = 9/64`

⇒ 64x - 192 = 45x + 36

⇒ 19x = 228

⇒ x = 12

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APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 7 Ratio and Proportion (Including Properties and Uses)
Exercise 7 (A) | Q 28 | Page 88
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