In 1999, while collecting information on an important politician figure, I found that his age at death was one thirty-ninth of the year of his birth. How old was the politician in 1921?
Source: mathcontest.olemiss.edu 2/11/2008
Let be the year of birth. Let be the year of death. Then, age at death equals and we have the following equation:
We have the following facts:
1. is a multiple of 39 because is a whole number
Rewrite Eq. (1) and apply a few numbers for age at death :
We eliminate because . Likewise, we eliminate because .
We also eliminate because .
The process of elimination leaves us with the solution:
Year of birth
Year of death
Thus, the politician’s age in 1921 is .