Question 1200372
.
{{{highlight(cross(If))}}} my mum is twice as old as me. 
In six years, I will be three years older than half of my mum's age. How old am I?
~~~~~~~~~~~~~~


<pre>
    If x is my age, then the mum age is 2x years.


    In 6 years

        x + 6 = 3 + {{{(1/2)*(2x+6)}}}.


    This equation is, actually, an IDENTITY: it is valid for any value of x.


    Therefore, it is IMPOSSIBLE to get a unique specific answer: any value of x is good.
</pre>


<U>DIAGNOSIS</U>.  &nbsp;&nbsp;This problem is &nbsp;UNSOLVABLE: &nbsp;&nbsp;it can not be solved and can not be answered 
in a reasonable way: &nbsp;any number is the solution. 


It has &nbsp;(INFINITELY) &nbsp;many solutions, &nbsp;which for such kind of problems is absurdist 
(or, &nbsp;if you wish, &nbsp;is like a death sentence).



----------------



Actually, &nbsp;this &nbsp;" problem " &nbsp;is a &nbsp;TRAP, &nbsp;and the only mathematical content in it is to discover that it is a trap.