If (6x + 5y) : (6x - 5y) = 11 : 5 then what is x : y?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e 20 : 9
Explanation :
According to the given question,
(6x + 5y) : (6x - 5y) = 11 : 5
⇒ (6x + 5y)/(6x - 5y) = 11/5
Crossmultiplying,
⇒ 30x + 25y = 66x - 55y
⇒ 66x - 30x = 55y + 25y
⇒ 36 x = 80y
⇒ x/y = 80/36
⇒ x/y = 20/9
Hence the required ratio of x : y is 20 : 9.