If (7x+y) : (7x-y) = 7 : 3, then what is the value of x : y?
Answer & explanation
Correct answer: option 2
Given (7x+y) : (7x-y) = 7 : 3,
Adding the terms, (7x+y) + (7x-y) = 7 + 3
14x = 10 or x = $\frac{10}{14}$
Subtracting the terms, (7x+y) - (7x-y) = 7 - 3
2y = 4 or y = 2
Thus, x : y = $\frac{10}{14}$ : 2 = 5 : 14