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There is a simple trick to solving these types of problems. Let the two numbers you're trying to find be "x" and "y".

  • x + y = 40
  • x - y = 14

Add the equations.

  • 2x = 54
  • 2x/2 = 54/2
  • x = 27

Now replace "x" in the equation with the new found value.

  • 27 + y = 40
  • 27 - 27 + y = 40 - 27
  • y = 13.

Now replace both "x" and "y" in the equation to check your answers.

  • 27 + 13 = 40
  • 27 - 13 = 14.

Therefore your two numbers are 27 and 13.

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11y ago
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Q: The sum of two numbers is 40 the difference between the two numbers is 14 what are the numbers?
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