distinct pairs

**banku12** · May 17th 2010, 10:13 PM

find the number of disttinct pairs of postive integers (m,n)such that $n(m-n)=2009$

**tonio** · May 18th 2010, 03:51 AM

Originally Posted by banku12

find the number of disttinct pairs of postive integers (m,n)such that $n(m-n)=2009$

$2009=7^2\cdot 41\Longrightarrow\,n$ must be taken from the divisors $1,\,7,\,49,\,41,\,287,\,2009$ , and then you must choose $m$ accordingly.

For example, $n=1\Longrightarrow\, m=2010\,:\,1(2010-1)=2009\;;\;\;n=7\Longrightarrow\,m=294\,:$ $7(294-7)=7\cdot 287=2009$ , etc.

Tonio

Thread: distinct pairs

LinkBack

Thread Tools

Display

distinct pairs

Similar Math Help Forum Discussions

If p and q are distinct primes, find the number of distinct divisors of (p^m)(q^n).

[SOLVED] Find number of distinct pairs (x,y)?(difficult)

three distinct

distinct value of

Pairs of (x,y)

Search Tags