Question 1174280
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As the problem is stated,  the point  P  on  AB  is not defined by a  UNIQUE  way.



Because it admits    AP : PB = 2    (it is what the author keeps in his mind)  


and   AP : BP = {{{1/2}}}   (which is out of the author's mind, but still how the problem can be interpreted).


<H3>So, as the problem is presented, IT IS NOT a WAY to present a Math problem.</H3>