Write the algebraic expression for the following statement:
Three-fourths of the difference of $2 x a n d y$

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Solution

The difference between $2 x a n d y = (2 x - y)$
Three fourth of the difference $= \frac{3}{4} \times (2 x - y)$
$= \frac{3 (2 x - y)}{4} = \frac{6 x - 3 y}{4}$
Hence the algebraic expression will be $\frac{6 x - 3 y}{4}$

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