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- Jan 26, 2012

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- Thread starter
- Admin
- #1

- Jan 26, 2012

- 4,052

--------------------

Remember to read the POTW submission guidelines to find out how to submit your answers!

- Thread starter
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- #2

- Jan 26, 2012

- 4,052

1) Sudharaka

2) Reckoner

Solution (from Reckoner):

\[\left\{\begin{array}{rcl}x &=& 3y\\ x-6 &=& 4(y-6)\end{array}\right.\]\[\Rightarrow\left\{\begin{array}{rcl}x - 3y &=& 0\\ x-4y &=&-18\end{array}\right.\]

Solving this system, we find that \(x=54\) and \(y=18\), their current age. Therefore, in six years, Adam will be 60 and his son will be 24, so that the ratio of their ages will be \(\frac52\).

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