<PRE><B>Question 698330</B>
&lt;br&gt;&lt;font face=&quot;Tahoma&quot;&gt;Let {{{x}}} and {{{y}}} be your variables.&lt;br&gt;

We are given:&lt;br&gt;

{{{x+y=50}}}  and  {{{x-y=10}}}&lt;br&gt;

Intuitively, it doesn&#39;t matter which number is acutally bigger, x or y.&lt;br&gt;

So we have a system of two equations with two variables.  Perfect!&lt;br&gt;

Now we just need to solve the system by using substitution or elimination.&lt;br&gt;

Elimination is the easiest method in this case.&lt;br&gt;

Just add the first equation to the second and you will eliminate the y variable.&lt;br&gt;

{{{(x+y)+(x-y)=50+10}}}&lt;br&gt;

{{{2x=60}}}&lt;br&gt;

{{{x=30}}}&lt;br&gt;

{{{x+y=50}}}&lt;br&gt;

{{{30+y=50}}}&lt;br&gt;

{{{y=20}}}&lt;br&gt;

So the two numbers are 20 and 30.  Check this, it works.&lt;br&gt;

I hope this helps!  Keep practicing!  :)&lt;br&gt;

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