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Average of any two numbers:
  
Let us take two numbers as \(x\) and \(y\), then
 
average = x + y2
 
Let, \(x\) and \(y\) be any two rational numbers, then we can find as many rational numbers between \(x\) and \(y\) by using the average concept as \(e1,e2,e3,e4,e5....etc\)
 
e1=x+y2;e2=x+e12;e3=x+e22. (\(e2,e3\)) represents the rational numbers present to the left of the average of \(x\) and \(y\), which is to the left of \(e1\) in the number line.
 
n2i.jpg
 
To find the rational numbers present to the right of the average of \(x\) and \(y\), that is to the right of \(e1\) in the number line, find \(e4\) and \(e5\).
 
e4=e1+y2;e5=e4+y2
nm.jpg
 
Important!
From the above number line, we can say that the average (e1) of two numbers (x and y) lies between x and y in the number line.