You asked:

was ernest augustus younger than sophia of hanover

Yes. Ernest Augustus, Duke of Brunswick is younger than Sophia of Hanover.
Ernest Augustus, Duke of Brunswick
Ernest Augustus, Duke of Brunswick

Prince Ernst August III of Hanover, Duke of Brunswick-Lunenburg (17 November 1887, Penzing-30 January 1953, Castle Marienburg near Hanover), reigning Duke of Brunswick-Lüneburg (2 November 1913-8 November 1918)

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

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