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by Brian Gladman on February 19, 2017

Sunday Times Teaser 2839 – Unwholesome

by Mike Fletcher

Published 19 February 2017 (link)

I have written down three positive numbers, the highest of which is an even two-figure number.  Also, one of the numbers is the average of the other two. I have calculated the product of the three numbers and the answer is a prime number.

You might be surprised that the product of three numbers is a prime but, of course, they are not all whole numbers — at least one of them is a fraction.

What is the largest of the three numbers, and what is the product of the three?

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