Algebra
posted by John .
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?

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*poles1=number pigeosn
Pig=2Poles+1
Pig=3Poles1
subtract equation 1 from 2
0=poles2 or poles=2
pigeons=5 
Pi=2Po+1,
Pi=3(Po+1)
after solving we get the result as
Pi=9
and
Po=4
Respond to this Question
Similar Questions

math
A pigeon runs into a flock of pigeons and asks their leader what is your number in this flock? 
Math
A pigeon runs into a flock of pigeons and asks their leader what is your number in this flock? 
Physics
Pigeons are bred to display a number of interesting characteristics. One breed of pigeon, the "roller," is remarkable for the fact that it does a number of backward somersaults as it drops straight down toward the ground. Suppose a … 
physics
Pigeons have multipledomain magnetite magnets within their skulls that are connected through a large number of nerves to the pigeon's brain. How does this aid the pigeon in navigation? 
english
Animals Possess sensory powers that humans lack. Homing pigeons fly with great speed and accuracy when 1)___(e)d with messages to faraway places. How do Pigeons 2)___ themselves in unfamiliar regions? 
logic
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 … 
math
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 … 
Algebra
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 … 
Algebra
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 … 
science
Why did Charles Darwin talk about pigeons (how breeders produced many shapes, sizes, and colors of pigeons, all starting from a wild pigeon) in his book On the Origin of Species?