A man gave his young son the following challenge. He offered his son $1000 if the son could accomplish the following task. The father gave his son ten envelopes and a thousand dollars, all in one dollar bills.
He told his son, “Place the money in the envelopes in such a manner that no matter what number of dollars I ask for, you can give me one or more of the envelopes, containing the exact amount I asked for without having to open any of the envelopes. If you can do this, you will keep the $1000.”
When the father asked for a sum of money, the son was able to give him envelopes containing the exact amount of money asked for. How did the son distribute the money among the ten envelopes? The answer follows, but think about it for a few moments before you scroll down to see the answer…
The contents or the ten envelopes (in dollar bills) should be as follows:
$1, 2, 4, 8, 16, 32, 64, 128, 256, 489.