Problem at the Bank - Solution
A bank customer had £100 in his account. He then made 6 withdrawals, totaling
£100. He kept a record of these withdrawals, and the balance remaining
in the account, as follows:
| Withdrawals |
Balance left |
| £50 |
£50 |
| £25 |
£25 |
| £10 |
£15 |
| £8 |
£7 |
| £5 |
£2 |
| £2 |
£0 |
|
|
| £100 |
£99 |
So, Why are the Totals not exactly right?
There is no reason whatever why the customer's original deposit
of £100 should equal the total of the balances left after each withdrawal.
The total of withdrawals in the left-hand colum may equal £100,
but is is purely coincidence that the total of the right-hand
column is close to £100.
Let us show another example, but starting with £200 in the
bank:
| Withdrawals |
Balance left |
| £50 |
£150 |
| £25 |
£125 |
| £10 |
£115 |
| £8 |
£107 |
| £5 |
£102 |
| £2 |
£100 |
|
|
| £100 |
£699 |
Moral of this story? Don't Total Balances.
Puzzle supplied by Richard Rider
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