Friday Puzzler -- four ages
Alex Y
This is a puzzle about four people's ages, all integers less than 50.
Each of Ann, Bill, Carol, and Dennis wrote down their ages on post it
notes for all to see. They were each given a calculation to perform.
Ann, who was the youngest, just had to add the four ages, and got 60.
Bill was to add up products of all possible pairs, and got 1319.
Carol was the oldest and was asked to find the sum of the reciprocals
and got 0.2844 (approx)
Dennis was second youngest and had to find the product, and arrived at
62832.
When I checked their answers, I found that all were correct
except Dennis's result, which was too high. In fact he had made a small
error less than 6 in one of the ages on the post-it notes.
What were the ages of Ann, Bill, Carol, and Dennis?