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Question
If (x – 9) : (3x + 6) is the duplicate ratio of 4 : 9, find the value of x.
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Solution
`(x - 9)/(3x + 6) = (4/9)^2`
⇒ `(x - 6)/(3x + 6) = (16)/(81)`
⇒ 81x – 729 = 48x + 96
⇒ 81x – 48x = 96 + 729
⇒ 33x = 825
⇒ x = `(825)/(33)`
= 25.
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