#### Answer

$n = 37$

#### Work Step by Step

1. Multiply by $49-n$ on both sides of the equation to remove the fractions:
$\frac{n}{49-n} = 3 + \frac{1}{49-n}$
$n = 3(49-n) + \frac{1(49-n)}{49-n}$
$n = 3(49-n) + \frac{49-n}{49-n}$
2. Simplify the fraction
$n = 147 - 3n + 1$
$-147 + n + 3n - 1 = 0$
$-148 + 4n = 0$
$4(-37 + n) = 0$ (Factor $4$ out)
$-37 + n = 0$
$n = 37$