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Assoli18 [71]
3 years ago
10

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 th

e sum of the other two.
Mathematics
1 answer:
harina [27]3 years ago
8 0

Answer:

  • x = 5, y = 7, z = 12

Step-by-step explanation:

<u>Let the numbers be x, y and z</u>

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

<u>Solving by substitution:</u>

  • 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

<u>The answer:</u>

  • x = 5, y = 7, z = 12
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