If (6x + 5y) : (6x - 5y) = 11 : 5 then what is x : y ?
Answer & explanation
Correct answer: option 1
Here,
(6x + 5y) : (6x - 5y) = 11 : 5
⇒ \(\frac{(6x + 5y)}{(6x - 5y)}\) = \(\frac{11}{5}\)
⇒ 5(6x + 5y) = 11(6x - 5y)
⇒ 30x + 25y = 66x - 55y
⇒ 36x = 80y
⇒ x : y = 80 : 36 = 20 : 9.