You asked:

is the eiffel tower older than the palace of westminster

No. The Eiffel Tower is not older than Palace of Westminster. The Eiffel Tower is 125 years, 9 months and 28 days old. Palace of Westminster is between 178 years and 1 month and 179 years old.
Palace of Westminster
Palace of Westminster
Palace of Westminster

The Palace of Westminster, also known as the Houses of Parliament or Westminster Palace, in London, where the two Houses of the Parliament of the United Kingdom (the House of Lords and the House of Commons) meet

the Eiffel Tower, the tall iron tower in Paris, France

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