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# Find the Value of X, If: (2x + 3): (5x – 38) is the Duplicate Ratio Of Sqrt5: Sqrt6 - Mathematics

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#### Question

Find the value of x, if: (2x + 3): (5x – 38) is the duplicate ratio of  sqrt5: sqrt6

#### Solution

(2x + 3) : (5x - 38) is the duplicate ratio of sqrt5 : sqrt6

Duplicate ratio of sqrt5 : sqrt6 = 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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