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If $\text{A+C = 2B}$ and $\text{B+D = 2A},$ then :

  1. $\text{A+C = B+D}$
  2. $\text{A+B = C+D}$
  3. $\text{A+D = B+C}$
  4. $\text{A+D = 2C}$
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Given that: $A+C=2B,B+D=2A$

adding both we get:$2(A+B)=A+B+C+D$

$\implies A+B=C+D$

Option (B) is correct.
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