<PRE><B>Question 239420</B>
&lt;font size = 8 color = &quot;red&quot;&gt;&lt;b&gt;Tell Jimbo to bug off!&lt;/font&gt;&lt;/b&gt;

What is 

five divided by the sum of &lt;font color = &quot;red&quot;&gt;a number&lt;/font&gt; and 3, minus the quotient of 3 and the difference of &lt;font color = &quot;red&quot;&gt;the number&lt;/font&gt; and 3 is equal to 6 times the reciprocal of the difference of &lt;font color = &quot;red&quot;&gt;the number&lt;/font&gt; squared and 9. 
&lt;pre&gt;&lt;font size = 4 color = &quot;indigo&quot;&gt;&lt;b&gt;
Replace &quot;a number&quot; and &quot;the number&quot; by x
&lt;/pre&gt;&lt;/font&gt;&lt;/b&gt;
five divided by the sum of x and 3, minus the quotient of 3 and the difference of x and 3 is equal to 6 times the reciprocal of the difference of x squared and 9.&lt;br&gt;
five divided by &lt;font color = red&gt;the sum of x and 3&lt;/font&gt;, minus the quotient of 3 and the difference of x and 3 is equal to 6 times the reciprocal of the difference of x squared and 9.
&lt;pre&gt;&lt;font size = 4 color = &quot;indigo&quot;&gt;&lt;b&gt;
Replace &quot;the sum of x and 3&quot; by &quot;x+3&quot;
&lt;/pre&gt;&lt;/font&gt;&lt;/b&gt;
five divided by x+3, minus the quotient of 3 and the difference of x and 3 is equal to 6 times the reciprocal of the difference of x squared and 9.&lt;br&gt;
five divided by x+3, minus the quotient of 3 and &lt;font color = red&gt;the difference of x and 3&lt;/font&gt; is equal to 6 times the reciprocal of the difference of x squared and 9.
&lt;pre&gt;&lt;font size = 4 color = &quot;indigo&quot;&gt;&lt;b&gt;
Replace &quot;the difference of x and 3&quot; by &quot;x-3&quot;:
&lt;/pre&gt;&lt;/font&gt;&lt;/b&gt;
five divided by x+3, minus the quotient of 3 and x-3 is equal to 6 times the reciprocal of the difference of x squared and 9.
&lt;font color = &quot;red&quot;&gt;five divided by x+3&lt;/font&gt;, minus the quotient of 3 and x-3 is equal to 6 times the reciprocal of the difference of x squared and 9.
&lt;pre&gt;&lt;font size = 4 color = &quot;indigo&quot;&gt;&lt;b&gt;
Replace &quot;five divided by x+3&quot; by {{{5/(x+3)}}}:
&lt;/pre&gt;&lt;/font&gt;&lt;/b&gt;
{{{5/(x+3)}}} minus the quotient of 3 and x-3 is equal to 6 times the reciprocal of the difference of x squared and 9.

{{{5/(x+3)}}} minus &lt;font color = &quot;red&quot;&gt;the quotient of 3 and x-3&lt;/font&gt; is equal to 6 times the reciprocal of the difference of x squared and 9.

&lt;pre&gt;&lt;font size = 4 color = &quot;indigo&quot;&gt;&lt;b&gt;
Replace &quot;the quotient of 3 and x-3&quot; by {{{3/(x-3)}}}
&lt;/pre&gt;&lt;/font&gt;&lt;/b&gt;
{{{5/(x+3)}}} minus {{{3/(x-3)}}} is equal to 6 times the reciprocal of the difference of x squared and 9.

{{{5/(x+3)}}} minus {{{3/(x-3)}}} is equal to 6 times the reciprocal of the difference of &lt;font color = &quot;red&quot;&gt;x squared&lt;/font&gt; and 9.
&lt;pre&gt;&lt;font size = 4 color = &quot;indigo&quot;&gt;&lt;b&gt;
Replace &quot;x squared&quot; by {{{x^2}}}
&lt;/pre&gt;&lt;/font&gt;&lt;/b&gt;
{{{5/(x+3)}}} minus {{{3/(x-3)}}} is equal to 6 times the reciprocal of the difference of {{{x^2}}} and 9.

{{{5/(x+3)}}} minus {{{3/(x-3)}}} is equal to 6 times the reciprocal of &lt;font color = &quot;red&quot;&gt;the difference of {{{red(x^2)}}} and 9&lt;/font&gt;.
&lt;pre&gt;&lt;font size = 4 color = &quot;indigo&quot;&gt;&lt;b&gt;
Replace &quot;the difference of {{{x^2}}} and 9&quot; by {{{x^2-9}}}
&lt;/pre&gt;&lt;/font&gt;&lt;/b&gt;
{{{5/(x+3)}}} minus {{{3/(x-3)}}} is equal to 6 times the reciprocal of {{{x^2-9}}}.

{{{5/(x+3)}}} minus {{{3/(x-3)}}} is equal to 6 times &lt;font color = &quot;red&quot;&gt;the reciprocal of {{{red(x^2-9)}}}&lt;/font&gt;.
&lt;pre&gt;&lt;font size = 4 color = &quot;indigo&quot;&gt;&lt;b&gt;
Replace &quot;the reciprocal of {{{x^2-9}}}&quot; by {{{1/(x^2-9)}}}
&lt;/pre&gt;&lt;/font&gt;&lt;/b&gt;
{{{5/(x+3)}}} minus {{{3/(x-3)}}} is equal to 6 times {{{1/(x^2-9)}}}.

{{{red(5/(x+3))}}} &lt;font color = &quot;red&quot;&gt;minus {{{red(3/(x-3))}}}&lt;/font&gt; is equal to 6 times {{{1/(x^2-9)}}}&lt;/font&gt;.
&lt;pre&gt;&lt;font size = 4 color = &quot;indigo&quot;&gt;&lt;b&gt;
Replace {{{5/(x+3)-3/(x-3)}}} by {{{5/(x+3)-3/(x-3)}}}
&lt;/pre&gt;&lt;/font&gt;&lt;/b&gt;
{{{5/(x+3)-3/(x-3)}}} is equal to 6 times {{{1/(x^2-9)}}}.

{{{5/(x+3)-3/(x-3)}}} is equal to &lt;font color = &quot;red&quot;&gt;6 times {{{red(1/(x^2-9))}}}&lt;/font&gt;.
&lt;pre&gt;&lt;font size = 4 color = &quot;indigo&quot;&gt;&lt;b&gt;
Replace &quot;6 times {{{1/(x^2-9)}}} by {{{6/(x^2-9)}}}.

{{{5/(x+3)-3/(x-3)}}} is equal to {{{6/(x^2-9)}}}.

{{{5/(x+3)-3/(x-3)}}} &lt;font color = &quot;red&quot;&gt;is equal to&lt;/font&gt; {{{6/(x^2-9)}}}.
&lt;pre&gt;&lt;font size = 4 color = &quot;indigo&quot;&gt;&lt;b&gt;
Replace &quot;is equal to&quot; by &quot; = &quot;:
&lt;/pre&gt;&lt;/font&gt;&lt;/b&gt;
{{{5/(x+3)-3/(x-3) = 6/(x^2-9)}}}
&lt;pre&gt;&lt;font size = 4 color = &quot;indigo&quot;&gt;&lt;b&gt;
Can you solve that?  If not post again asking how.

Answer = 15


Edwin&lt;/pre&gt;</PRE>