A is older than B. C is older than B, but younger than A. D is younger than E and B. B is older than  E.  Whose age is in between C and E ?

‘A’ is older than B means $\to A>B$

 ‘C’ is older than B but younger than A  $\to A>C>B$

    ‘D’ is younger than E and B $\Rightarrow E>B>D\left(or\right)$

      $\Rightarrow B>E>D$      

  ‘B’ is older than E $\Rightarrow B>E$

  from  the given information  the descending order of  ages is 

  $A>C>B>E>D$           

   B’s  age is in between C and E.