1540.33 – Hattie's Age in 1900

Hattie's age at her death was exactly 1/291/29 of the year of her birth. How old was she in 1900?

Solution

We need to look at the exact multiples of 29 in the 1800's. One of them is the year of Hattie's birth. There are three possibilities:

29×63=1827;29×64=1856;29×65=188529 \times 63 = 1827;\hspace{.1in} 29 \times 64 = 1856; \hspace{.1in} 29 \times 65 = 1885. That's all there are.

If she was born in 1827, then she died in 1827 + 63 = 1890. That is too soon. If she was born in 1856, then she died in 1856 + 64 = 1920. That works. If she was born in 1885, then she died in 1885 + 65 = 1950. That also works.

So Hattie was either 44 or 15 in 1900.