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Question
Find the value of x, if: (2x + 3) : (5x – 38) is the duplicate ratio of `sqrt(5) : sqrt(6)`.
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Solution
(2x + 3) : (5x – 38) is the duplicate ratio of `sqrt(5) : sqrt(6)`
Duplicate ratio of `sqrt(5) : sqrt(6) = 5 : 6`
`(2x + 3)/(5x - 38) = 5/6`
12x + 18 = 25x – 190
25x – 12x = 190 + 18
13x = 208
`x = 208/13 = 16`
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