The problem is as follows:
In an archery contest the television host says the following:
The scores in this round of competition are from 0 to 20. Charles has 2 points less than Marina. Lewis has 2 points more than Annie. Bradley had the lowest score which was more than 14. Charles scores higher than Annie and Victor. With this information. If everyone has different scores, what is the average grade for Victor and Charles?
The alternatives given in my book are as follows:
- 17
- 18
- 16
- 15
How exactly should I find this peculiar order of information? From what I could guess here is that there is an implicit clue which indicates that there aren't draws.
But other than placing Bradley in the bottom, it doesn't say much about him because it say that he has a score higher than 14.
Marina > Charles
Now about Charles which it says that he scores higher than Annie and Victor. I don't get it. I'm assuming that he has a score which cannot be the sum of Annie and Victor because that would be over 20 which is the maximum allowed.
Charles > Annie and Charles > Victor
Since it mentions Lewis having 2 points more than Annie this would mean.
Lewis > Annie
But I don't know how to bring all of this together. Can someone help me to fill the gap?
For reference this problem was obtained from my Reason and logic book from 2000s and it seems to be an adaptation from a reprinted copy of Martin Gardner's Puzzle carnival of the 1970s.
I'm not very savvy with ordering information, can this be solved using a logic grid?. It would help me a lot if this would include a step by step approach so I can see what's happening.