Two brothers share a flock of x sheep. They take the sheep to the market and sell each sheep for $x. At the end of the day they put the money from the sales on the table to divide it equally. All money is in $10 bills, except for fewer than ten excess $1 bills. One at a time they take out $10 bills. The brother who draws first also draws last.
The second brother complains about getting one less $10 bill so the first brother offers him all the $1 bills. The second brother still received a total less than the first brother so he asks the first brother to write him a check to balance the things out.
How much was the check?
(In reply to
Solution by Tristan)
I don't totally agree, because there are more squares with uneven 10$ bills. Look at: 14 => 196 and 16 => 256 which has 19 10$ bills and 25 10$ bills respectively. There are many more where those came from, but the really weird part is that ALL of the ones I have seen have a 6 as the least significant digit, so the check would be 2$
For the case where the brothers have 8866 sheep in their flock this still remains. I don't think I should even check higher because who could sell more than 8866 sheep in one day, even if there's two of them? Who is going to get 78 million dollars for a bunch of sheep anyway?
re: Solution
