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$87$ Bordeaux      
$79$ $47$ Langon    
$61$ $31$ $54$ Libourne  
$58$ $84$ $37$ $65$ Marmande

The table shows the distance (in $\text{km}$) between five towns in southern France. Five friends live in these five towns and want to meet. In which of these towns should they meet to keep the total travelling distance as small as possible?


If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.



This problem is taken from the UKMT Mathematical Challenges.