1530.32 – Basil's Age

Tags:Problem Set 99Arithmetic: Z

Basil Finfrock, born near the end of the 19th century, noticed that he was xx years old in the year x2x^2. How old was he in 1900?


We need to find the year x2x^2 in the late 1800's or early-to-middle 1900's. 442=193644^2 = 1936 is the only year that works.

So Basil was 44 in 1936; so he was born in 1892, and he was 8 in 1900.