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Number Pyramid 9
With a little work, Number Pyramid 9 comes tumbling down.
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July 16, 2007
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 9?

  1. The number on top the pyramid minus the sum of the two numbers in the second row equals 1.
  2. The middle number in row 3 minus the number second from the right in row 4 equals 6.
  3. The three numbers in row 3 sum to 24.
  4. The leftmost numbers in the four rows of Number Pyramid 9 add up to 24.
  5. The rightmost number in row 4 minus the second number from the left in that row equals 3.

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