Find the value of x, if: (2x + 3) : (5x – 38) is the duplicate ratio of 5:6.

Find the value of x, if: (2x + 3) : (5x – 38) is the duplicate ratio of `sqrt(5) : sqrt(6)`.

Sum

(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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Chapter 7 Ratio and Proportion (Including Properties and Uses)
Exercise 7 (D) | Q 5.(i) | Page 102

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