You deposit a check and the ATM switches the dollars and the cents. The amount you are given is 47 cents more than twice the correct amount. Assume that the number of dollars and the number of cents are less than 100. The correct amount is 100a + b cents, but the ATM switched it to 100b + a cents. What is supposed to be the correct amount on your check?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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You deposit a check and the ATM switches the dollars and the cents. The
amount you are given is 47 cents more than twice the correct amount. Assume that the number of dollars and the number of cents are less than 100.  The correct amount is 100a + b cents, but the ATM switched it to 100b + a cents. What is supposed to be the correct amount on your check? 

Expert Solution
Step 1

Given,

Correct amount = 100a+b cents

Atm's output = 100b+a cents

where, a is the dollard and b is the cent.

Also, numbers of dollars and cents are less than 100

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