When Grandma was asked about her age she told her grandchildren the following:
-"If the age of the oldest of you will be added to the product of ages of the younger two,- you would get my current age."
The three boys, Alex, Bob and Cid, started their thinking, but only Bob, the middle child provided the correct answer and added:
"If we had to perform the above operations a year ago - we would be off by 14 years...
What were the boys' Grandma's ages, given Alex's age was a prime number?

(In reply to Process by tomarken)

Thanks a lot, tomarken.

It is a pity I  did not solve analytically my own puzzle.

Your proof shows that the oldest (in my text) can be of any age,

limitations being posed only by biology.

This enables me to introduce the right constraints, making the puzzle uniquely solvable.

Please comment on the new text.

Posted by Ady TZIDON on 2014-08-21 01:19:50