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  1. Two numbers x and y (x > y) are such that their sum is equal to three times their difference.
    Then value of  
    3xy
      will be:
    2(x2 − y2)
    1. 2
      3
    2. 1
    3. 1
      1
      2
    4. 1
      2
      3
Correct Option: B

(x + y) = 3 (x – y) = 3x – 3y
⇒  3y + y = 3x – x
⇒  2x = 4y
⇒  x = 2y

⇒ 
x
=
2
y1

∴  x = 2, y = 1
3xy
=
3 × 2 × 1
=
6
= 1
2(x2 − y2)2 × (4 − 1)6



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