Processing math: 100%

Pages

Bookmark and Share

Wednesday, April 27, 2011

Floor And Ceiling

Show that there are positive integers a,b,c,d with b,d < 100 such that:

\lfloor \frac{a}{b} k \rfloor = \lfloor \frac{73}{100} k \rfloor

and

\lceil \frac{c}{d} k \rceil = \lceil \frac{73}{100} k \rceil

For all k = 1,2,\dots,99

Note: \lfloor x \rfloor denotes the floor function and \lceil x \rceil denotes the ceiling function

No comments:

Post a Comment