pierre was born in the twentieth century and will be x years old in the year x squared. In what year was pierre born

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  1. Let y be the year of his birth. x^2 is the year when he is x years old.
    x^2 - y = x
    x^2 -x = y must be between 1900 and 2000
    Try x = 45. His birth year would be 1980
    If x = 46, his birth year would be 2070 (too late)
    If x = 44, his birth year would be 1892 (too early).

    So the birth year is 1980

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