Academic journal article ABA Banking Journal

Sleight of Mind

Academic journal article ABA Banking Journal

Sleight of Mind

Article excerpt

Due to a computer glitch to which we are all vulnerable, many of your e-mails in response to March's puzzle, 'Concerning a Check,' were sent back. To date we have received only two correct responses. One was from Jim Coons, director of internal audit, Stillman Bank, Stillman Valley, Ill., and the other was from Vane Lucas, senior vice-president, Bank of Oklahoma, Tulsa, who sent in the following solution:

"The exact amount of the check was $31.63. Let X be the original $ amount of the check and Y be the original cents amount. The problem breaks down to: For X and Y integers from 0 to 99 inclusive: 100Y+X-5 = 2 (100X+Y) or 100Y+X-5 = 200X+2Y or 98Y-5 = 199X or X = (98Y-5)/199. Given the integer constraint, the only combination that works is X = 31, Y = 63. The original check was $31.63. When reversed, the amount received was $63.31. After spending a nickel, James had $63. …

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