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 The three squirrels (Posted on 2004-02-12)
Two squirrels, A and B are talking about another squirrel, C.

A: Getting ready for winter is hard! I just gathered up another acorn.

B: I am a slow worker, so I am doing what I did last year and collecting one acorn per day. I got mine for today already.

A: Did you hear how many acorns C has now?

B: Yes, he has the product of how many I had yesterday, today, and will have tomorrow after I have gathered that day's acorn.

A: Anyone who has that many acorns must be a hard worker. I heard he has the product of my and your current acorn quantities, minus their sum.

If both squirrels were correct in their statements, how many acorns does each squirrel have (assume each squirrel has a whole number of acorns).

 See The Solution Submitted by Gamer Rating: 2.8750 (8 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 OAK, I think I got it :-) | Comment 5 of 12 |
Let A,B, and C be the three total nuts on the day of these sciuridae quercus queries. A>=2. B>=1.
C = (B-1)*(B)*(B+1) = A*B-(A+B)

(B-1)*(B)*(B+1)=A*B-(A+B)

(B^2-B)*(B+1)=A*B-(A+B)

B^3-B^2+B^2-B=A*B-A-B

B^3=A*B-A

B^3=A(B-1)

A=8, B=2, C=6 is one solution. Are there others?

 Posted by Penny on 2004-02-12 12:33:30

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