Number Pyramid 6
Rebuilding Number Pyramid 6 would please the Pharaoh himself.
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A Number Pyramid is composed of the 10 different numbers 0-9 with a top row of 1 number resting on a second row of 2 sitting on a third row of 3 supported by a bottom row of 4. For example, a Number Pyramid could be:

     0
    1 2
   3 4 5
  6 7 8 9


Given the clues below, can you determine the composition of Number Pyramid 6?

  1. The number at the top of Number Pyramid 6 minus the leftmost number in row 2 equals 6.
  2. Both the four leftmost numbers in each row and the three numbers in row 3 sum to 17.
  3. In the bottom row of the pyramid, the second number from the left minus the leftmost number equals 5.
  4. The rightmost number in row 3 minus the rightmost number in row 4 equals 3.
  5. The four numbers in the bottom row sum to 19.