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?

2 answers

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 ???