# Math Help - Display a number...

1. ## Display a number...

Hey guys, i'm stuck with this question and could need your help:

"Display the number 2008 as the sum of natural numbers, so that the addition of the reciprocal values of their summands equals 1."

Thanks a lot, i just don't know what to do with this question...

2. is that what you mean?

$
\left\{ \begin{gathered}
\sum\limits_{n = 1}^N {x_n = 2008} \hfill \\
\sum\limits_{n = 1}^N {\frac{1}
{{x_n }} = 1} \hfill \\
\end{gathered} \right.$

3. hey peritus, thanks for your quick answer

unfortunatly, i don't really know this notation...

to clarify my post, i was looking for a couple of numbers which add up to 2008;
the sum of the inverses of these numbers are supposed to equal 1...