## THE LOCKERS PUZZLE.

(

Money Puzzles)

[Illustration:

A B C

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| +--+ +--+ +--+ | | +--+ +--+ +--+ | | +--+ +--+ +--+ |

| | | | | | | | | | | | | | | | | | | | | | | |

| +--+ +--+ +--+ | | +--+ +--+ +--+ | | +--+ +--+ +--+ |

| | | | | |

| +--+ +--+ +--+ | | +--+ +--+ +--+ | | +--+ +--+ +--+ |

| | | | | | | | | | | | | | | | | | | | | | | |

| +--+ +--+ +--+ | | +--+ +--+ +--+ | | +--+ +--+ +--+ |

| | | | | |

================== ================== ==================

| +--+ +--+ +--+ | | +--+ +--+ +--+ | | +--+ +--+ +--+ |

| | | | | | | | | | | | | | | | | | | | | | | |

| +--+ +--+ +--+ | | +--+ +--+ +--+ | | +--+ +--+ +--+ |

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]

A man had in his office three cupboards, each containing nine lockers,

as shown in the diagram. He told his clerk to place a different

one-figure number on each locker of cupboard A, and to do the same in

the case of B, and of C. As we are here allowed to call nought a digit,

and he was not prohibited from using nought as a number, he clearly had

the option of omitting any one of ten digits from each cupboard.

Now, the employer did not say the lockers were to be numbered in any

numerical order, and he was surprised to find, when the work was done,

that the figures had apparently been mixed up indiscriminately. Calling

upon his clerk for an explanation, the eccentric lad stated that the

notion had occurred to him so to arrange the figures that in each case

they formed a simple addition sum, the two upper rows of figures

producing the sum in the lowest row. But the most surprising point was

this: that he had so arranged them that the addition in A gave the

smallest possible sum, that the addition in C gave the largest possible

sum, and that all the nine digits in the three totals were different.

The puzzle is to show how this could be done. No decimals are allowed

and the nought may not appear in the hundreds place.

Read Answer

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THE THREE GROUPS.
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ODD AND EVEN DIGITS.