Question

If four fifths of a number is greater than three fourths of the number by $4$. Find the number.

Answer 1

Let the required number be '$x$', then four fifths of the number $=\frac{4}{5}x$
And three fourths of the number $=\frac{3}{4}x$
It is given that $\frac{4}{5}x$ is greater than $\frac{3}{4}x$ by $4$
$\Rightarrow$ $\frac{4}{5}x-\frac{3}{4}x=4$
$\frac{16x-15x}{20}=4$
$\Rightarrow$ $\frac{x}{20}=4$ $\Rightarrow$ $x=80$
hence the required number is $80$.