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You asked:

was ernest augustus younger than sophia of hanover

Yes. Ernest Augustus IV, Prince of Hanover is younger than Sophia of Hanover.
Ernest Augustus IV, Prince of Hanover

Ernst August, Prince of Hanover (German Ernst August, Prinz von Hannover, Herzog von Braunschweig-Lüneburg; 18 March 1914, Braunschweig - 9 December 1987 Schulenburg (Leine)), the eldest son of Ernest Augustus III

Sophia of Hanover
Sophia of Hanover
Sophia of Hanover

Electress Sophia of Hanover (born Sophia, Countess Palatine of Simmern; 14 October 1630 – 8 June 1714), the youngest daughter of Frederick V, Elector Palatine, of the House of Wittelsbach, the "Winter King" of Bohemia, and Elizabeth Stuart