If $$(3x+2y):(3x-2y)= 5:3$$​ then find $$x:y$$.

Correct option is A

Given:

​$$\frac{3x + 2y}{3x - 2y} = \frac{5}{3}$$​

Solution:
$$(3x + 2y) \times 3 = (3x - 2y) \times 5$$​

9x + 6y = 15x - 10y

9x - 15x = -10y - 6y

-6x = -16y

3x = 8y

​$$\frac{x}{y} = \frac{8}{3}$$​

x : y = 8 : 3