Tom, Joanna and Jacky each come up with a number. The sum of the three numbers is $$360$$. Tom\textquotesingle s number is twice Joanna\textquotesingle s number, and Joanna\textquotesingle s number is three times Jacky\textquotesingle s number. What are these three numbers? 
Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple
Jacky\textquotesingle s number is ``$$1$$'', so Joanna\textquotesingle s number is ``$$3$$'', and Tom\textquotesingle s number is ``$$6$$''.  Jacky\textquotesingle s number: $$360 \div (6 +3+1) =36$$. Joanna\textquotesingle s number: $$36 \times 3=108$$. Tom\textquotesingle s number: $$36 \times 6 =216$$. 