36.3 years
Explanation
1 decade= 10 years
Step 1
Let
[tex]2009\Rightarrow80\text{ years}[/tex]Assume that due to modern advances life expectancy gains 5.5years every decade,then
[tex]yearx\Rightarrow100[/tex][tex]\begin{gathered} \text{decaces where expectative is 100 years = }\frac{100-80\text{ years}}{5.5\text{ }\frac{years}{\text{decade}}}=\frac{20\text{ yeats}\cdot decade}{5.5\text{years}}=3.63\text{ decades} \\ 3.63\text{ decades=36.3 years} \end{gathered}[/tex]I hope this helps you