How do you solve 3/7 = (n+2)/(n+12)?

Jun 4, 2018

By arranging the equation, $n = 5.5$

Explanation:

$\frac{3}{7} = \frac{n + 2}{n + 12}$

$3 \left(n + 12\right) = 7 \left(n + 2\right)$

$3 n + 36 = 7 n + 14$

$36 - 14 = 7 n - 3 n$

$22 = 4 n$

$\frac{22}{4} = n$

$\frac{11}{2} = n$

Or $n = 5.5$