three fifth of a number is greater than two fourth of a number by 6, Find the number

*x*.

So, three fifth of a number = $\frac{3x}{5}$

And two fourth of a number = $\frac{2x}{4}$

Now according to the question, three fifth of a number is greater than two fourth of a number by 6, So we have;

$\frac{2x}{4}+6=\frac{3x}{5}\phantom{\rule{0ex}{0ex}}\Rightarrow \frac{x}{2}+6=\frac{3x}{5}\phantom{\rule{0ex}{0ex}}\Rightarrow \frac{x}{2}-\frac{3x}{5}=-6\phantom{\rule{0ex}{0ex}}\Rightarrow \frac{5x-6x}{10}=-6\phantom{\rule{0ex}{0ex}}\Rightarrow \frac{-x}{10}=-6\phantom{\rule{0ex}{0ex}}\Rightarrow x=10\times 6=60$

Therefore the number is 60.

**
**