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The sum of three numbers is 24. Twice the middle number is 2 more than the largest number, and the largest number is equal to the sum of the other two.

Respuesta :

mhanifa

Answer:

  • x = 5, y = 7, z = 12

Step-by-step explanation:

Let the numbers be x, y and z

  • x + y + z = 24
  • 2y = z + 2
  • z = x + y

Solving by substitution:

  • x + y + z = z + z = 24
  • 2z = 24
  • z = 12

  • 2y = z + 2
  • 2y = 12 + 2
  • 2y = 14
  • y = 7

  • z = x + y
  • x = z - y
  • x = 12 - 7 = 5

The answer:

  • x = 5, y = 7, z = 12

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