Donald and Regan are married with four children, named Michael, Farley, Solomon and Larry. They just had a baby girl and are picking the name. It’s down to Olivia, Tiffany and Jasmine. Donald’s brother, a piano teacher, tells them only one of the names would be correct. Which name is it?
What does man love more than life Fear more than death or mortal strife What the poor have, the rich require, and what contented men desire, What the miser spends and the spendthrift saves And all men carry to their graves?
A similar problem can be found in L.A. Graham’s Ingenious Mathematical Problems and Methods with a range of 1 to 9, but the principle remains the same – the numbers with the smallest difference produce the largest product. You start out with the highest two digits, 7 and 6, then attach 5 and 4, putting the smaller of the two digits with the larger number, giving you 74 and 65. The next two highest digits are 3 and 2, giving you 742 and 653. Finally, you add the 1 to the lower number. Page 80 has the details of that solution.