<PRE><B>Question 1195175</B>
.
Hi
The sum of Sofia and her mothers age is twice the difference between their ages. 
5 years ago Sofia&#39;s mother is 4 times as old as Sofia. How old are they now.

Thank you 
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&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;As &amp;nbsp;{{{highlight(usual)}}}, &amp;nbsp;the solution and the answer from the post of @josgarithmetic 

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;(5 &amp;nbsp;years for daughter and &amp;nbsp;15 &amp;nbsp;years for her mother) &amp;nbsp;are both &amp;nbsp;{{{highlight(WRONG)}}} &amp;nbsp;and &amp;nbsp;{{{highlight(INCORRECT)}}}.


&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;I came to bring you a correct solution.



&lt;pre&gt;
d,m;
{{{system(d+m=2(m-d),m-5=4(d-5))}}}


-
d+m = 2m-2d
2m-2d = d+m
m-3d = 0
m=3d
-
m-5=4d-20
m=4d-15
-
3d = 4d-15
0 = d-15
0 = d-15
d = 15
-
Sofia is 15 years old;  her mother is 45 years old.    &lt;U&gt;ANSWER&lt;/U&gt;


You may check it on your own that all conditions of the problem are satisfied.
&lt;/pre&gt;

Solved.


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For the safety of your brain, &amp;nbsp;ignore the post by @josgarithmetic.




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