Question

If (3a + 5b) : (3a – 5b)= 5 : 1, then a : b = ____​

Answer 1

Step-by-step explanation:

$\frac{(3a + 5b)}{(3a - 5b)} = \frac{5}{1}$

=>

$3a + 5b = 1 \\ 3a - 5b = 5$

Adding two Equations

$6a = 6 = > a = 1$

$3a - 5b = 5 = > 3.1 - 5b = 5 = > 3 - 5b = 5 = > 3 - 5 = 5b = > b = \frac{ - 2}{5}$

$\frac{a}{b} = \frac{1}{ \frac{ - 2}{5} } = \frac{5}{ - 2}$