Question 1148008
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            It is true that the problem is TWISTED and the exact meaning of the words is "in the fog".


            Probably, it is because English is not a native language of the person who created the problem;


            or, probably, it is a kind of provocation, and the author of the post tries "to check the tutors".


            In any case, I will show the way to solve this problem and to get the solution via some interpretation.



<pre>
Let consider the first sentence

    There are 5 more pigeons than twice the parrots in a cage of 50 pets.    (*)

Let limit / constrain ourselves by this sentence for a minute and will look what follows from it.



If "x" is the number of parrots, then the number of pigeons is (2x+5), according to (*).

Also, the total of pets (or of birds) in the cage is 50

    x + (2x+5) = 50.


It implies

    3x = 50 - 5 = 45;   hence

     x =        = 45/3 = 15.


In this way, we just get the <U>ANSWER</U> :  15 parrots and 2*15+5 = 35 = 50-15 pigeons.
</pre>


So, &nbsp;treating the problem in this way, &nbsp;we just solved it, &nbsp;<U>based on its first sentence &nbsp;ONLY &nbsp;(!)</U>


Now we should analyse what the rest of the problem means; &nbsp;how to interpret it, &nbsp;and how it influences to the 

solution and the answer itself.



<pre>
Tutor @greenestamps interprets the term "adopted" as if 5 birds of each kind are taken off from the cage and

transfered/moved/passed to somewhere outside "to the families".


I will interpret it in opposite way as if 5 birds of each kind are <U>ADDED</U> to the cage.

It <U>DOES NOT contradict</U> to the meaning of the word "adopted" - it is one of <U>possible interpretations</U>.


Then the number of parrots becomes  15+5 = 20  and the number of pigeons becomes 35+5 = 40,  and  40 = 2*20,

as the second sentence of the problem states.
</pre>


Thus I checked the answer above, &nbsp;and my check shows that the answer is correct.


Thus the problem is completely &nbsp;SOLVED &nbsp;via using different interpretation.



================


Surely, &nbsp;it is &nbsp;VERY &nbsp;SLIPPERY &nbsp;way to formulate &nbsp;Math problem using the words whose precise meaning 
is not known or is not defined.


Strictly saying, &nbsp;it is a &nbsp;PROHIBITED &nbsp;WAY &nbsp;in &nbsp;Math.


So, &nbsp;the formulation would be &nbsp;MUCH &nbsp;BETTER &nbsp;if to replace the term &nbsp;"ADOPTED" &nbsp;by the term &nbsp;"ADDED".



&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;At this point, I complete my solution.