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?