Posted by **John** on Thursday, March 7, 2013 at 10:49pm.

Out on my street, there are a certain number of pigeons sitting on telephone poles. If there were exactly 2 pigeons sitting on each telephone pole, then 1 pigeon would have no space to sit on. If there were exactly 3 pigeons sitting on each telephone pole, then there would be 1 telephone pole with no pigeons on. How many pigeons were there?

- Algebra -
**bobpursley**, Friday, March 8, 2013 at 5:54am
If there were exactly 2 pigeons sitting on each telephone pole, then 1 pigeon would have no space ....the number of pigeons is odd. And, numberpigions=numberpoles*2+1

TIf there were exactly 3 pigeons sitting on each telephone pole, then there would be 1 telephone pole with no pigeons on...means 3*poles-1=number pigeosn

Pig=2Poles+1

Pig=3Poles-1

subtract equation 1 from 2

0=poles-2 or poles=2

pigeons=5

- Algebra -
**Ashish**, Saturday, March 9, 2013 at 11:44pm
Pi=2Po+1,

Pi=3(Po+1)

after solving we get the result as

Pi=9

and

Po=4

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