2021 · Q100
If (6x + 4y)/(6x − 4y) = 8/6 then what is the value of x²/y²?
Elementary MathematicsRatio and Proportion
- A78/9
- B64/13
- C196/9
- D125/9
Explanation
From (6x+4y)/(6x−4y) = 4/3, cross-multiplying gives 3(6x+4y) = 4(6x−4y), i.e. 18x + 12y = 24x − 16y, so 28y = 6x. Then x/y = 14/3 and x²/y² = 196/9. Hence option C.