Man Cashes Cheque: Solve Assumptions to get Amount

  • Thread starter bamboozle
  • Start date
In summary, a man cashes a cheque for d pounds and c pence at a bank, but the teller gives him c pounds and d pence by mistake. After spending 23 pence, the man notices that he has 2d pounds and 2c pence. He then asks what amount the cheque was for. By solving the equations (100+d)-23=2c and c-1=2d, we can determine the original amount of the cheque.
  • #1
bamboozle
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A man cashes a cheque for d pounds and c pence at a bank. Assume that the teller by mistake gives the man c pounds and d pence. Assume that the man does not notice the errors until he has spent 23 pence. Assume further that he then notices that he has 2d pounds and 2c pence. Assume still further that he asks you what amount the check was for. Assuming that you can accept all the assumptions, what is the answer?
 
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  • #2
I think you should do these questions yourself, they aren't very hard, and don't really count as number theory; put it in general math if you want more people to see it. Or possibly the homework section cos that's what it looks like. They are mildly diverting, I suppose.
And let's wait for the flames...
 
  • #3
hope i don't cause any flames, but here are the equations to solve the problem:
(100+d)-23=2c
c-1=2d

then you have a system of two variables which is easy to solve.
 

Related to Man Cashes Cheque: Solve Assumptions to get Amount

1. How does one solve assumptions to get the amount on a cashed cheque?

Assumptions can be solved by first identifying all the known factors, such as the date the cheque was cashed, the amount written on the cheque, and any fees or deductions that may have been applied. Then, using basic mathematical equations, the unknown amount can be determined by subtracting any fees or deductions from the written amount on the cheque.

2. What happens if the amount on the cashed cheque does not match the written amount?

If the amount on the cashed cheque does not match the written amount, it is important to first verify that the cheque was correctly written and not altered. If the cheque was written correctly, then there may have been errors made during the cashing process. In this case, it is important to contact the bank or financial institution where the cheque was cashed to resolve the discrepancy.

3. Can assumptions be used to determine the amount on a cashed cheque if there are missing factors?

No, assumptions can only be used to solve for the unknown amount on a cashed cheque if all the necessary factors are known. If there are missing factors, it is important to seek clarification or obtain the missing information before attempting to solve for the amount.

4. Are assumptions always accurate when determining the amount on a cashed cheque?

Assumptions are not always accurate when determining the amount on a cashed cheque. There may be unforeseen factors, such as bank fees or deductions, that can affect the final amount. It is always best to double-check the calculations and confirm the amount with the bank or financial institution before relying on assumptions.

5. Is there a specific formula or method for solving assumptions to get the amount on a cashed cheque?

There is no specific formula or method for solving assumptions to get the amount on a cashed cheque. It will vary depending on the factors involved and the specific situation. However, using basic mathematical equations and verifying all the known factors can help in accurately determining the amount.

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