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The Guardian - UK
The Guardian - UK
Science
Alex Bellos

Can you solve it? The ping pong puzzle

A rackety table.
A rackety table. Photograph: Whit Preston/Getty Images

Hello guzzlers

Today’s puzzle is a beauty. A smash hit.

Three friends (A, B and C) are playing ping pong. They play the usual way: two play at a time, the winner stays on, and the loser waits his/her turn again. At the end of the day, they summarise the number of games that each of them played:

A played 10

B played 15

C played 17.

Who lost the second game?

Thanks to Adrian Paenza for suggesting this puzzle. Adrian is a legend in his home country of Argentina: the author of many bestselling popular maths books as well as a well-known TV presenter. He told me he learned of this puzzle recently from two maths professors at the university of Barcelona. “It’s really really cool, he says. “And kind of shocking.”

Have fun! I’ll be back at 5pm with the solution.

.........................................

Can You Solve My Problems

I post a puzzle here on a Monday every two weeks.

If you want to propose a puzzle for this column, please email me I’d love to hear it.

My book of puzzles Can You Solve My Problems? is out in three weeks time! To preorder and get a third off the cover price, please go to bookshop.theguardian.com or call 0330 333 6846. Free UK p&p over £10, online orders only. Phone orders min. p&p of £1.99.

You can check me out on Twitter, Facebook, Google+, my personal website or my Guardian maths blog.

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