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Find the value of x, if: (iii) (3x – 7): (4x + 3) is the sub-triplicate ratio of 8: 27.

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

And the sub-triplicate ratio of

\[\begin{array}{*{35}{l}}

8:\text{ }27\text{ }=\text{ }2:\text{ }3  \\

\left( 3x\text{ }-\text{ }7 \right)/\text{ }\left( 4x\text{ }+\text{ }3 \right)\text{ }=\text{ }2/3  \\

9x\text{ }-\text{ }8x\text{ }=\text{ }6\text{ }+\text{ }21  \\

x\text{ }=\text{ }27  \\

\end{array}\]