Question : If (7x + y) : (7x – y) = 7 : 3, then what is the value of x : y?
Option 1: 4 : 3
Option 2: 5 : 14
Option 3: 15 : 6
Option 4: 6 : 15
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Correct Answer: 5 : 14
Solution : $(7x + y) : (7x - y) = 7: 3$ $⇒\frac{(7x+y)}{(7x-y)}=\frac{7}{3}$ $⇒21x + 3y = 49x - 7y$ $⇒28x = 10y$ $⇒14x=5y$ $\therefore x: y = 5 : 14$ Hence, the correct answer is 5 : 14.
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