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If (2x + 3) : (5x – 38) be the duplicate ratio of √5 : √ 6 . Find the value of x .
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- 8
- 32
- 16
- 18
Correct Option: C
Since (2x + 3) : (5x – 38 ) is the duplicate ratio of √5 : √6,
therefore
| = |  |  | 2 | ||
| 5x − 38 | √6 |
| ⇒ | = | ||
| 5x − 38 | 6 |
⇒ 6 (2x + 3)= 5 (5x – 38 )
⇒ 12x + 18 = 25x – 190
⇒ 25x – 12x = 18 + 190
⇒ 13x = 208
| ⇒ x = | = 16 | |
| 13 |
