South African Mathematics Olympiad First Round

Mrs Habana will be $45+x$ years old and her son will be $17+x$ old where $x$ is the number of years from $2016$. Therefore $45+x=2(17+x)$, giving $45+x=34+2x$, so $x=45-34=11$. The year will then be $2016+11=2027$.