Question 1203444
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E is the midpoint of DF. If EF = x + 9 and DF = 3x + 9, what is DF
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        The solution by @MathLover1 is incorrect.
        I came to bring a correct solution.



<pre>
Then  2(x+9) = 3x + 9,  which implies, step by step

    2x + 18 = 3x + 9

    18 - 9 = 3x - 2x

       9   =    x


    DF = 3x + 9 = 3*9 + 9 = 27 + 9 = 36.    



<U>ANSWER</U>.  DF = 36.
</pre>

Solved (correctly).



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In his post, @Theo, without any visible reasons, came with the other interpretation
and solved different problem from what was in your original post.



Solving different problems is not prohibited;
but you, the visitor, should understand that different problem is irrelevant to your original problem.