# How do you solve n/(n-12)=9/5?

Feb 16, 2017

$n = 27$

#### Explanation:

$\frac{n}{n - 12} = \frac{9}{5}$

In a case like this where there is $\text{one fraction" = "one fraction}$,

the quickest method is to cross-multiply which will get rid of the fractions.

$9 \times \left(n - 12\right) = 5 \times n$

$9 n - 108 = 5 n$

$9 n - 5 n = 108$

$4 n = 108$

$n = 27$