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Ajitkumar Pradhan 9 
Where actually you are looking for this? And another thing is that if suppose user has entered "1/1/10" as a date and he actually meant to set 1910 then what will happen?
Below code will help you analyse the date formatting as per your requirement.
String selectedDate = '15/10/10';
System.debug('selectedDate : ' + selectedDate);
Integer currentYear = system.today().year();
Integer shortCurrentYear = Integer.valueOf((String.valueOf(currentYear)).substring(2));
System.debug('currentYear : ' + currentYear);
System.debug('shortCurrentYear : ' + shortCurrentYear);
String formattedDate = selectedDate.substring(0, selectedDate.lastIndexOf('/'));
Integer selectedYear = Integer.valueOf(selectedDate.substring(selectedDate.lastIndexOf('/') + 1));
if(selectedYear > shortCurrentYear){
formattedDate += '/19' + selectedYear;
}else{
formattedDate += '/20' + selectedYear;
}
System.debug('formattedDate : ' + formattedDate);
But remember above code will not work if User has entered year less that current year and he was trying to set 1900 year.
All Answers
Where actually you are looking for this? And another thing is that if suppose user has entered "1/1/10" as a date and he actually meant to set 1910 then what will happen?
Below code will help you analyse the date formatting as per your requirement.
String selectedDate = '15/10/10';
System.debug('selectedDate : ' + selectedDate);
Integer currentYear = system.today().year();
Integer shortCurrentYear = Integer.valueOf((String.valueOf(currentYear)).substring(2));
System.debug('currentYear : ' + currentYear);
System.debug('shortCurrentYear : ' + shortCurrentYear);
String formattedDate = selectedDate.substring(0, selectedDate.lastIndexOf('/'));
Integer selectedYear = Integer.valueOf(selectedDate.substring(selectedDate.lastIndexOf('/') + 1));
if(selectedYear > shortCurrentYear){
formattedDate += '/19' + selectedYear;
}else{
formattedDate += '/20' + selectedYear;
}
System.debug('formattedDate : ' + formattedDate);
But remember above code will not work if User has entered year less that current year and he was trying to set 1900 year.
I appreciate your effort. I wanted a condition where if the year in two digit is greater than 60 then it should take 19 otherwise 20
if(selectedYear > shortCurrentYear){
to
if(selectedYear > 60){
your requirement will be done.. Just use anonymous block to execute the code after making changes.
Thanks,
Sanjay