if 5 less than four-fifth of a number is 47,then the number is. explain it

*x*.

four-fifth of a number is $\frac{4x}{5}$.

And 5 less than four-fifth of a number is $\frac{4x}{5}-5$.

Now according to the question, 5 less than four-fifth of a number is 47. so we have;

$\frac{4x}{5}-5=47\phantom{\rule{0ex}{0ex}}\Rightarrow \frac{4x}{5}=52\phantom{\rule{0ex}{0ex}}\Rightarrow x=52\times \frac{5}{4}=65$

Therefore the number is 65.

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