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The product of two numbers is 120 and their sum is 22. The larger number is:

  • A.10
  • B.12
  • C.15
  • D.20

Answer: B

\[ (a-b)^{2} = (a+b)^{2} - 4ab = 484 - 480 = 4 \]

\[ a - b = 2 \quad\Longrightarrow\quad a = 12, \ b = 10 \]

So the larger is 12.

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