Monday, April 16, 2012

John Cash

John Cash saw his face on a poster nailed to a tree. As he approached, he saw "WANTED, DEAD OR ALIVE." Under his picture, it read "REWARD: DOLLARS."
There was a three-digit figure on the poster. John drew his Colt and shot at the first number (in the hundreds column).
He had just reduced the price on his head by five times. "Good Lord!" said the doctor's daughter, who was sitting on the other side of the tree doing her math homework.
John blushed, and shot again at another number (in the tens column). He had just reduced the price on his head by another five times.
"Nice shooting!" said the young girl.
"Thank you, miss," said John. He spurred his horse and never returned.
What was the initial reward offered on John's head?

Reference: Hard to Solve Brainteasers, Jaime & Lea Poniachik







Puzzle Answer

Answer:


The reward was 125 dollars. If you erase 1, you have 25 left, which is one fifth the original amount. If you erase 2, you have 5 left, which is one fifth of this amount. To get 125, find a two-digit number in which you can take the first digit off and the result is one fifth of the number. The only possible number is 25. 25 * 5 = 125.


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