Number Pyramid 10
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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 10?

  1. The three numbers in the top two rows of the pyramid sum to 15.
  2. Neither 7 nor 9 is the number second from the left in the bottom row.
  3. The rightmost number in row 2 minus the leftmost number in row 4 equals 3.
  4. The four numbers in row 4 sum to 26.
  5. The rightmost number in row 4 of Number Pyramid 10 minus the leftmost number in row 3 equals 5.
  6. The number at the apex of the pyramid minus the middle number in row 3 equals 4.