Final answer:
The discrepancy in the trial balance may have been caused by a transposition error. Since the difference is $4,500, looking for an account with a balance where the first two digits differ by 5, after being swapped, would likely uncover the error.
Step-by-step explanation:
The student's question involves identifying an error in a trial balance, which may be caused by a transposition error. Since the difference between the total debits ($264,000) and total credits ($259,500) is $4,500, and we are instructed to look for accounts with balances where the difference between the first two digits is 5, it's likely that a transposition error has occurred in an account balance.
The error could be that two digits have been swapped during data entry. For example, instead of entering $54,000 correctly, it may have been entered as $45,000.
The difference between these two numbers is the $9,000 we are seeing in the discrepancy divided by 2, because the transposition error would be double-counted: once in the debits and once in the credits.