How old was william cosmo gordon lang when R. B. Bennett was born?

What was the age (length of time since creation) of (William) Cosmo Gordon Lang (31 October 1864 – 5 December 1945), the Anglican prelate who served successively as Archbishop of York (1908–1928) and Archbishop of Canterbury (1928–1942) at the time Richard Bedford Bennett, 1st Viscount Bennett PC KC (July 3, 1870 - June 26, 1947), the eleventh Prime Minister of Canada from August 7, 1930 to October 23, 1935 is born on (has as his or her date of birth)?

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I followed this chain of reasoning:

I know from locally stored knowledge that:
July 3rd 1870 is the birthdate of R. B. Bennett ([fact: ["147358585@trueknowledge.com"]])

October 31st 1864 is the birthdate of Cosmo Lang ([fact: ["19306945@trueknowledge.com"]])

By calculation (generator: ["human_age@trueknowledge.com"]) I know that:
Fact 1: 5 years, 8 months and 2 days old is the age of Cosmo Lang

Fact 1 is true at July 3rd 1870

By calculation (generator: ["applies_at_timepoint@trueknowledge.com"]) I know that:
Fact 1 is true at July 1870

By calculation (generator: ["human_age@trueknowledge.com"]) I know that:
Fact 1: 5 years, 8 months and 2 days old is a age

Fact 1: 5 years, 8 months and 2 days old applies to Cosmo Lang

Fact 1 is true at July 3rd 1870

By calculation (generator: ["ismoreaccurate1@trueknowledge.com"]) I know that:
July 3rd 1870 is a more accurate version of July 1870

I used the following facts to provide this answer:

July 3rd 1870 is the birthdate of R. B. Bennett

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October 31st 1864 is the birthdate of Cosmo Lang

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