Question 1144302
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Luanne’s age is half the sum of her {{{highlight(cross(brothers))}}} <U>brother's</U> age and 6. 
If Luanne is 9 years old, how old is her brother 
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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Please pay attention on how I edited your post (!)


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;In Math, &nbsp;every word, &nbsp;every dot and even every comma does matter.



<pre>

From the condition, we are given that


         a)  Luanne’s age is half the sum of her brothers age and 6

    and

         b)  Luanne is 9 years old.


It means that "half the sum of her brother age and 6" is 9.


Hence, the sum of her brother age and 6 is 9*2 = 18.


It implies that her brother age is 18-6 = 12.


<U>ANSWER</U>.  Her brother's age is 12 years.


<U>CHECK</U>.   {{{(12+6)/2}}} = {{{18/2}}} = 9.   ! Correct !
</pre>


You may solve the problem by any way: using equations or using logical reasoning.


The movement of your thoughts is the same in both cases.