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This is surely the ultimate mathematical riddle and most probably the first. It is about the life of Diophantus, the father of algebra, who lived in the second century. It comes from a fifth century Greek anthology of number games and puzzles created by Metrodorus. One of the problems (sometimes called his epitaph) is the riddle you see above.

The riddle can be written as an equation where \(x\) is the age Diophantus died.

$$\frac x6 + \frac x{12} + \frac x7 + 5 + \frac x2 + 4 = x$$The solution to this and other Transum puzzles, exercises and activities are available when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher or parent you can apply for one here.

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## Hello WorldYou are buying a (driverless) car. One vehicle is programmed to save as many lives as possible in a collision. Another promises to prioritize the lives of its passengers. Which do you choose? Welcome to the age of the algorithm, the story of a not-too-distant future where machines rule supreme, making important decisions – in healthcare, transport, finance, security, what we watch, where we go even who we send to prison. So how much should we rely on them? What kind of future do we want? Hannah Fry takes us on a tour of the good, the bad and the downright ugly of the algorithms that surround us. In Hello World she lifts the lid on their inner workings, demonstrates their power, exposes their limitations, and examines whether they really are an improvement on the humans they are replacing. more... |