Posted by **Sadie** on Tuesday, October 2, 2012 at 9:18pm.

The mathematician Augustus DeMorgan lived his entire life during the 1800s. In the last year of his life he announced "Once I was x years old in the year x^2". In which year was he born?

- Math -
**Steve**, Wednesday, October 3, 2012 at 11:07am
the only perfect square between 1800 and 1900 is 1849 = 43^2

so, he was 43 in 1849, and born in 1806

- Math -
**Jennifer**, Wednesday, October 3, 2012 at 11:13am
40^2 = 1600

50^2 = 2500

So his age has to be between 40 and 50

What number between 40 and 50 when squared is a number between 1800 and 1900?

43^2 = 1849

if he was 43 in the year 1849, then he was 0 (the age he was born) in ???

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