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Question
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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