Question : If $(3x+y):(3 x-y)=4: 3$, then what is the value of $x: y$?
Option 1: 5 : 3
Option 2: 7 : 3
Option 3: 5 : 2
Option 4: 7 : 4
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Correct Answer: 7 : 3
Solution : $(3x+y):(3x-y) = 4:3$ $⇒\frac{3x+y}{3x-y} = \frac{4}{3}$ $⇒9x+3y = 12x-4y$ $⇒3x=7y$ $\therefore x:y=7:3$ Hence, the correct answer is 7 : 3.
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