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If A + B = 2C and C + D = 2A, then

  • A.A + C = B + D
  • B.A + C = 2D
  • C.A + D = B + C
  • D.A + C = 2B

Answer: A

Correct answer: A + C = B + D

From \( A+B = 2C \) we get \( B = 2C-A \), and from \( C+D = 2A \) we get \( D = 2A-C \). Adding those, \[ B + D = (2C-A) + (2A-C) = A + C \] so A + C = B + D.

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