An Old Babylonian Problem Text

The tablet pictured below is an example of an Old Babylonian problem text.  Although only part of the tablet remians, originally it had 22 related problems arranged in ascending order of difficulty. For each one, the problem is stated and the answer is given, but there are no indications of the method used to find the solution.  The tablet is YBC 4652 in the Yale Babylonian Collection.  It was first published by Neugebauer and Sachs in Mathematical Cuneiform Texts, as Text R.

Picture of tablet
 

A translation of the first complete problem is:
    I found a stone.  I did not weigh it.  A seventh I added.  An eleventh I added.
    I weighed it.  1 mana.  What was the original weight of the stone?  The weight of the stone was 2/3 mana 8 gin 22 1/2 še.

The other problems are all similar, but more complicated.



I thank Professor W.W. Hallo for permission to use the images of the tablet.

Go to Mesopotamian Mathematics.


Last modified: 7 June 2001

Duncan J. Melville

dmelville@stlawu.edu