15. Today Rachel realised the following facts were true: in two years' time her brother Tim will be twice as old as he was two years ago and in three years' time her sister Tina will be three times as old as she was three years ago.
Which of the following statements is also true?
A Tim is two years older than Tina
D Tim is one year younger than Tina
B Tim is one year older than Tina
E Tim is two years younger than Tina
C Tim is the same age as Tina
15. Cet Tim's and Tina's age now be $x$ and $y$ respectively. The information in the question tells us that $x+2=2(x-2)$ and that $y+3=3(y-3)$. Therefore $x+2=2 x-4$, which has solution $x=6$. and $y+3=3 y-9$, which has solution $y=6$. Hence Tim and Tina are the same age.