2022 · Q13
If 43x × 47y = (2021)², x ≠ 0, y ≠ 0, then what is the value of the following?(4xy + x + y)/(2xy - x - y)
Elementary MathematicsAlgebra
- A5
- B15
- C25
- D45
Explanation
Since 2021 = 43x47, we have 43ˣx47ʸ = 43²x47², giving x = 2 and y = 2. Then (4xy+x+y)/(2xy-x-y) = (16+2+2)/(8-2-2) = 20/4 = 5. Hence the keyed option is A.