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# How many POSITIVE INTEGER solutions does the folowing

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CEO
Joined: 15 Aug 2003
Posts: 3452

Kudos [?]: 929 [0], given: 781

How many POSITIVE INTEGER solutions does the folowing  [#permalink]

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02 Oct 2003, 23:19
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How many POSITIVE INTEGER solutions does the folowing
equation have: x+y =20

Kudos [?]: 929 [0], given: 781

SVP
Joined: 03 Feb 2003
Posts: 1603

Kudos [?]: 312 [0], given: 0

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03 Oct 2003, 00:31
In a form (x, y), there are 19 positive integer solutions.
1+19
2+18
.....
19+1

Kudos [?]: 312 [0], given: 0

Senior Manager
Joined: 21 Aug 2003
Posts: 257

Kudos [?]: 13 [0], given: 0

Location: Bangalore

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03 Oct 2003, 07:54
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.

Kudos [?]: 13 [0], given: 0

SVP
Joined: 03 Feb 2003
Posts: 1603

Kudos [?]: 312 [0], given: 0

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03 Oct 2003, 08:03
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.

Kudos [?]: 312 [0], given: 0

03 Oct 2003, 08:03
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