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Eyles entered the Admiralty in 1876. He was private secretary to Sir Gerald FitzGerald, Accountant-General of the Navy, in 1885, Staff Officer for Estimates in 1891, Assistant Principal Clerk in 1897, Assistant Accountant-General in 1903, Deputy Accountant-General in 1904, and Accountant-General of the Navy from 1906 to 1918, when he retired.
Eyles was appointed CB in 1908, KCB in 1913 and KBE in 1919.