If (6x + 5y) : (6x - 5y) = 11 : 5 then w

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Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Ratios

Question:

If (6x + 5y) : (6x - 5y) = 11 : 5 then what is x : y ?

Options:

20 : 9

12 : 5

15 : 8

18 : 11

Correct Answer:

20 : 9

Explanation:

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.