Alphonso and his sister Sadie are entering the airport to meet their mother when Sadie gasps in surprise and says to her brother, “You see that man in the crowd over there?”
Alphonso replies, “It’s Bernie. I don’t believe it. Let’s go introduce ourselves.”
Neither of them had ever met Bernie before. They’d never seen a picture or painting of him, nor was he a famous celebrity.
Alphonso was born as a twin, but he was separated from his twin brother at birth. Bernie is Alphonso’s identical twin, which is how Sadie was able to recognize him in the crowd.
This is kind of a cheat, because there are probably other possible explanations. But we can’t have everything :)
Daughter-in-law. Her daughter’s father is her husband (she’s only been married once and is devoted, meaning she didn’t have an affair). This means John’s son is her husband, so John is her father-in-law, making her the daughter-in-law.
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.