# When a number is added to 1/5 of itself, the result is 24. The equation that models this problem is n+1/5n=24. What is the value n?

Here $n + \frac{1}{5} n = 24$
$\Rightarrow \frac{5 n + n}{5} = 24$
$\Rightarrow \frac{6}{5} n = 24$
$\Rightarrow n = 24 \times \frac{5}{6}$
$\Rightarrow n = 20$