<PRE><B>Question 21082</B>
THE SUM OF A NUMBER AND ITS RECIPORCAL IS 10 OVER 3&lt;br&gt;

writing as an algebraic expression we get&lt;br&gt;

x+1/x=10/3&lt;br&gt;

cross multiplying &lt;br&gt;

3(x+1)=10x&lt;br&gt;

distributing&lt;br&gt; 

3x+3=10x&lt;br&gt;

collecting like terms&lt;br&gt;

3=7x&lt;br&gt;

dividing by 7&lt;br&gt;

x=3/7</PRE>