(Number Theory) When Mr. Smith cashed a check at his bank, the teller mistook the number of cents for the number of dollars and vice versa. Unaware of this, Mr. Smith spent 68 cents and then noticed to his surprise that he had twice the amount of the original check. Determine the smallest value for which the check could have been written. [Hint: If x denotes the number of dollars and y the number of cents in the check, then 100y + x - 68 = 2(100x + y).]
(Number Theory) When Mr. Smith cashed a check at his bank, the teller mistook the number of cents for the number of dollars and vice versa. Unaware of this, Mr. Smith spent 68 cents and then noticed to his surprise that he had twice the amount of the original check. Determine the smallest value for which the check could have been written. [Hint: If x denotes the number of dollars and y the number of cents in the check, then 100y + x - 68 = 2(100x + y).]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(Number Theory)
When Mr. Smith cashed a check at his bank, the teller mistook the number of cents for
the number of dollars and vice versa. Unaware of this, Mr. Smith spent 68 cents and then
noticed to his surprise that he had twice the amount of the original check. Determine the
smallest value for which the check could have been written.
[Hint: If x denotes the number of dollars and y the number of cents in the check, then
100y + x - 68 = 2(100x + y).]
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