# Sunday Times Teaser 2926 – Coins of Obscura

*by Peter Good*

#### Published October 21 2018 (link)

George and Martha were on holiday in Obscura where coins are circular with radii equal to their whole number value in scurats. They had coffees and George took out some loose change. He placed one 10 scurat and two 15 scurat coins on the table so that each coin touched the other two and a smaller coin between them that touched all three. He then placed a fifth coin on top of these four which exactly covered them and the total value of the five coins was exactly enough to pay the bill.

How much was the coffee bill?

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This is an exercise in finding the radii of Soddy circles as described here.