Question 1133054
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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The condition in this problem describes &nbsp;<U>IMPOSSIBLE</U> &nbsp;situation, &nbsp;which &nbsp;NEVER &nbsp;can happen 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;- therefore &nbsp;<U>the problem &nbsp;HAS &nbsp;NO &nbsp;solution</U>.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Indeed, &nbsp;if the sum of ages of three persons today is &nbsp;75, &nbsp;then it can not be &nbsp;47 &nbsp;ten years ago.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Then years ago the sum of their ages is / (was) &nbsp;75 - 3*10 = 75 - 30 = 45.



&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;In simple terms, &nbsp;the condition is &nbsp;INCORRECT.



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Added after reading the solution by tutor @MathTherapy.


<pre>
    Thanks for your solution and for correcting me.


    Now I recalled that I solved similar problem (even more than once) before at this forum.

    I even made a lesson  <A HREF=https://www.algebra.com/algebra/homework/word/age/Age-problems-with-a-defective-sum-of-ages.lesson>Age problems with a defective sum of ages</A>  in this site with similar problem.


    But  I think that in such cases the condition should point by some gently and delicate manner to such a possibility.


    In the presented formulation the word "their" refers directly to "3 people" and is tooooo straightforward - and therefore incorrect.
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