Determine the total number of real y with 1 ≤ y ≤ 2007 satisfying this equation:

[y/2] + [y/3] + [y/8] + [y/9] = 77y/72

where [p] denotes the greatest integer ≤ p.

all values listed satisfy this equation. the largest solution is 2007.

Posted by Dave on 2007-11-06 06:07:49