Difference between revisions of "1954 AHSME Problems/Problem 44"
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Latest revision as of 16:27, 29 January 2020
Problem 44
A man born in the first half of the nineteenth century was years old in the year
. He was born in:
Solution
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
.