1954 AHSME Problems/Problem 44
A man born in the first half of the nineteenth century was years old in the year . He was born in:
If a man born in the 19th century was years of in the year , it implies that the year the man was born was . So, if the man was born in the first half of the 19th century, it means that . Noticing that and , we see that . We can guess values until we hit a solution. , so we see that the man had to have been years old in the year , so the answer is .