Math
posted by Sadie on .
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?

the only perfect square between 1800 and 1900 is 1849 = 43^2
so, he was 43 in 1849, and born in 1806 
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 ???