Three families make a remarkable discovery. The sum of the ages of their members are all the same, the sum of the squares of the ages of their members are all the same, and the sum of the cubes of the ages of their members are all the same. Everyone in all 3 families has a different age, and nobody is more than 100 years old.
What is the smallest possible sum of their ages? Can this be done with 4 families?
(In reply to
clarifications asked by Steven Lord)
My unsolicited advice:
If you do not get any answer within a week, just solve the puzzle
starting with a sentence like “I assume the following: ... etc
If your assumptions preclude a reasonable solution - modify your assumptions and post your revised results.
Needless to mention - it’s up to you to follow my suggestions or not.
re: clarifications asked
