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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 -

    the only perfect square between 1800 and 1900 is 1849 = 43^2

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

  • Math -

    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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