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The difference between the squares of two numbers is 256 and their sum is 32. The difference between the numbers is:

  • A.8
  • B.6
  • C.12
  • D.16

Answer: A

\[ a^{2} - b^{2} = (a+b)(a-b) \]

\[ 256 = 32(a - b) \quad\Longrightarrow\quad a - b = 8 \]

The numbers are 20 and 12.

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