If (3x – 7 ) : (4x + 3) is sub -triplicate ratio o f 8

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If (3x – 7 ) : (4x + 3) is sub -triplicate ratio o f 8 : 27, find the value of x .

1. 9
2. 54
3. 18
4. 27

Correct Option: D

Since (3x – 7 ) : (4x + 3) is the sub -triplicate ratio of 8 : 27,
therefore ,

3x − 7	= 3	√	8	=	2
4x + 3			27		3

⇒ 3 (3x – 7 ) = 2 (4x + 3)
⇒ 9x – 21 = 8x + 6
⇒ 9x – 8x = 21 + 6
⇒ x = 27