Question

If $\frac{3a+5b}{3a-5b}=5$, then $a:b$ is equal to

• A. $2:1$
• B. $5:3$
• C. $3:2$
• D. $5:2$

Answer 1

The correct option is D $5:2$

$\frac{3a+5b}{3a-5b}=5\Rightarrow 3a+5b=5(3a-5b)$
$\Rightarrow 3a+5b=15a-25b\Rightarrow 12a=30b$
$\Rightarrow \frac{a}{b}=\frac{30}{12}=\frac{5}{2}\Rightarrow a:b=5:2$