Question

4a+3b. 24
--------- = --------
5a-4b 13

a
- = ?
b

Answer 1

$\frac{4a+3b}{5a-4b}=\frac{24}{13}$

$\left(4a+3b\right)\cdot \:13=\left(5a-4b\right)\cdot \:24$

$52a+39b=120a-96b$

$52a=120a-135b$

$-68a=-135b$

$a=\frac{135b}{68}$

$\frac{a}{b}= \frac{135}{68}$