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 Number Pyramid (Posted on 2004-08-20)
A "Number Pyramid" is composed of ten different numbers ( usually 0 - 9 ) with four rows. ONE EXAMPLE of a Number Pyramid is as follows:

0

1   2

3  4   5

6  7   8   9

Given the clues below, determine the composition of a new Number Pyramid.

1) The sum of the two numbers in the second row is 11.

2) The sum of the numbers in the bottom row minus the sum of the numbers in the third row equals 10.

3) The rightmost numbers in the four rows must sum to 18.

4) The middle number in the third row minus the leftmost number in the second row should equal 4.

5) Subtracting the top number in the Pyramid from the rightmost number in the second row leaves 4.

6) In the bottom row, the leftmost number is greater than the second number from the left, while the rightmost number is greater than the second number from the right.

For bonus marks, which of the above clues (if any), are not necessary in order to construct the pyramid?

 See The Solution Submitted by Jane Doe Rating: 3.5556 (9 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 original solution | Comment 22 of 24 |

You can find the original solution at the site where this puzzle was taken from:

http://www.allstarpuzzles.com/logic/00093.html

http://www.allstarpuzzles.com/logic/00093_solution.html

.  I guess you might work for that site or something; otherwise I'm surprised you took their original content and posted it.

--Bob

 Posted by Bob Williamson on 2004-10-23 00:34:11

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