Question

If $\frac{a+2b}{a-2b}=13$, then find the value of the ratio $\frac{a}{b}$.

Answer 1

$\frac{a+2b}{a-2b}=13$

$\frac{\frac{a}{b}+2}{\frac{a}{b}-2}=13$

$\frac{a}{b}+2=13\left(\frac{a}{b}\right)-26$

$28=12\left(\frac{a}{b}\right)$

$\frac{a}{b}=\frac{7}{3}$