Family Riddle Solutions
Let’s assume that Rene and Leo are both heads of household, and, what a coincidence, both families include three girls and three boys. The youngest child in Leo’s family is a girl, and in Rene’s family, a little girl has just arrived. In other words, there is a girl in Rene’s family whose age is less than one year. Neither family includes any twins, nor any children closer in age than a year. All the children are under age ten. In each family, the sum of the ages of the girls is equal to the sum of the ages of the boys; in fact, the sum of the squares of the ages of the girls is equal to the sum of the squares of the ages of the boys. The sum of the ages of all these children is 60.
Question: What are the ages of the children in these two families? How many solutions does this problem have?
Use your favorite decision intelligence tool (an LLM-based co-pilot, a rules-based decision manager, a constraint solver, Python, Java, or just common sense) to come up with a solution and send it to DecisionManagementCommunity@gmail.com.
Solutions:
- MS Copilot – unsuccessful attempts using two conversation styles
- ChatGPT – initial results are as bad as Copilot. Could somebody force ChatGPT to do better?
- OpenRules Solver – submitted by Jacob Feldman
- OR-Tools/Python– submitted by Alireza Soroudi
- Picat – submitted by Hakan Kjellerstrand
- ChatGPT/CPLEX – submitted by Alex Fleischer
- OPL/CPLEX – submitted by Alex Fleischer
- Prolog – submitted by Matteo Redaelli
- …
dmcommunity.org 
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