SOLUTION: There are 2 trees in a garden (tree "A" and "B") and on the both trees are some birds.If half of birds of tree A comes to tree B it will become equal to the birds on tree A and if

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Question 1144295: There are 2 trees in a garden (tree "A" and "B") and on the both trees are some birds.If half of birds of tree A comes to tree B it will become equal to the birds on tree A and if half of birds of tree B comes to tree A it will become double of the birds on tree B.so, How many birds are on each tree?
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
>>There are 2 trees in a garden (tree "A" and "B") and on the both trees are some birds...<<
Let x = the number of birds on tree "A".
Let y = the number of birds on tree "B".

>>If half of birds of tree A come to tree B...<<
Then tree A will have only expr%281%2F2%29x birds and 
tree B will have y%2Bexpr%281%2F2%29x birds.

>>it (tree B) will become equal to the birds on tree A...<<
So y%2Bexpr%281%2F2%29x=x which, upon multiplying through by 2,

2y%2Bx=2x
2y=x

(1)  So in the beginning, tree A has twice as many birds as tree B.

Remember that as statement (1)

>>and if half of birds of tree B comes to tree A<<
Then tree B will have only expr%281%2F2%29y birds and 
tree A will have x%2Bexpr%281%2F2%29y birds.

it (tree A) will become double of the birds on tree B.
So x%2Bexpr%281%2F2%29y=2y which, upon multiplying through by 2,

2x%2By=4y
2x=3y
x=1.5y
(2)  So in the beginning, tree A has one and a half as many birds as tree B.

Remember that as statement (2)

>>so, How many birds are on each tree?<<
There is no solution because statements (1) and (2) are contradictory.

We solve the system:

system%282y=x%2C2x=3y%29

We substitute 2y for x in 2x=3y

2(2y) = 3y
  4y  = 3y
   y  = 0

x = 2y = 2(0) = 0

There are no birds on either tree. 

That can't be a solution unless "some birds" can mean "no birds".

Edwin


Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
.

This problem formulation is   H E A V I L Y   /  F A T A L L Y     W R O N G.


It is clear just from its first phrase / sentence,  and  there is  NO  any need to read it further.


Good only to throw it into a  GARBAGE  BOX.


Penalty to the author . . .