The exact date & time of evolution of these languages can never be found. The earliest work of Tamil that is unearthened is 'Tholkappiyam' that dates back to 2200 years. And Vedas in Sanskrit has evolved some 3500 years ago.
Lord Shiva is founder of Sanskrit..
As far as my learning is concerned. Tamil is the oldest language in the world. Sankrit language which is not the origin of all Indian languages. Yes it is to the Indo Aryan languages like Hindi and punjabi but not to the indgenious Languages like Tamil a mother of all other languages like Malayalm,Telugu Kannada and etc,,,,
Many people will say that Sankskrit was used for writing religious stuffs and etc.. but we all have to understand that the creators of the sanskrit are the Aryans who were intruders to the Indian soil and the illiterate Aryans learnt the arts and lit frm the Dravdians of the indus valley the oldest civilisation ,who spoke the native language Tamil.
Then after the Aryans fabricated Hinduism and and forced their created Sanskrit and stuff like the caste system in Hinduism, these are well known facts, the birth of sanskrit is only during the 1500bc after the arrival of the Aryans.
The birth of Tamil Language is unknown but one of the earliest text is even dating back 5000bc, which clearly speaks for itself,Tamil as the OLDEST LANGUAGE.
Its a good debate to be discussed, but not feel superior or inferior about which language is first or older one. My personal feeling is to be a HUMAN FIRST not the caste, country, rich, poor etc etc.,,