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Julia Song’s POTW Solution
When 3 numbers are added 2 at a time, the sums are 29, 46, and 53. What is the sum of all 3 numbers? Let the numbers be x, y, and z. X+Y=29 X+Z=46 Y+Z=53
2.  Each variable appears on the left twice, so adding the 3 equations would equal: 2(X+Y+Z)=29+46+53=128 (X+Y+Z)/2 = (128) / 2 X+Y+Z=64 The answer is 64

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Julia Song's 3 Number Sum Solution

  • 2. When 3 numbers are added 2 at a time, the sums are 29, 46, and 53. What is the sum of all 3 numbers? Let the numbers be x, y, and z. X+Y=29 X+Z=46 Y+Z=53
  • 3. 2. Each variable appears on the left twice, so adding the 3 equations would equal: 2(X+Y+Z)=29+46+53=128 (X+Y+Z)/2 = (128) / 2 X+Y+Z=64 The answer is 64