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# How many POSITIVE INTEGER solutions does the folowing

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CEO
Joined: 15 Aug 2003
Posts: 3469
Followers: 61

Kudos [?]: 703 [0], given: 781

How many POSITIVE INTEGER solutions does the folowing  [#permalink]  02 Oct 2003, 23:19
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How many POSITIVE INTEGER solutions does the folowing
equation have: x+y =20
SVP
Joined: 03 Feb 2003
Posts: 1608
Followers: 6

Kudos [?]: 76 [0], given: 0

In a form (x, y), there are 19 positive integer solutions.
1+19
2+18
.....
19+1
Senior Manager
Joined: 21 Aug 2003
Posts: 258
Location: Bangalore
Followers: 1

Kudos [?]: 4 [0], given: 0

stolyar, what about (0,20) & (20,0)...?
another way to look at it is y = -x + 20.
Equation of a line that cuts Y axis at 20. Now from origin(i.e. 0) to 20 are the number of possible positive solutions to this equation (i.e. 21).
thanks.
SVP
Joined: 03 Feb 2003
Posts: 1608
Followers: 6

Kudos [?]: 76 [0], given: 0

OK, but 0 is neither positive nor negative. You should have known this fact. The initial question clearly demands to find only positive solutions. So, I insist on my answer.
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