Question

Solve:
If $a:b=5:3,$ then find $(5a+8b):(6a-7b).$

Answer 1

We have,

$\frac{a}{b}=\frac{5}{3}$

Since,

$\frac{5a+8b}{6a-7b}$

Therefore,

$\Rightarrow \frac{5\frac{a}{b}+8}{6\frac{a}{b}-7}$

$\Rightarrow \frac{5\frac{5}{3}+8}{6\frac{5}{3}-7}$

$\Rightarrow \frac{\frac{25}{3}+8}{\frac{30}{3}-7}$

$\Rightarrow \frac{25+24}{30-21}$

$\Rightarrow \frac{49}{9}$

Hence, this is the answer.