3(x - y) = 27 and 3(x + y) = 243, then x is equal to:
2025
3(x - y) = 27 and 3(x + y) = 243, then x is equal to:
- A.
8
- B.
2
- C.
6
- D.
4
Attempted by 60 students.
Show answer & explanation
Correct answer: D
Solution: Use algebra to solve for x.
Divide both given equations by 3 to simplify: x - y = 9 and x + y = 81.
Add the two equations to eliminate y: (x - y) + (x + y) = 9 + 81, so 2x = 90.
Solve for x: x = 90 / 2 = 45.
Conclusion: x = 45. None of the provided choices (8, 2, 6, 4) equals 45, so the answer choices or the indicated correct answer should be corrected.