Amusements in Mathematics by Henry Ernest Dudeney
page 64 of 735 (08%)
page 64 of 735 (08%)
![]() | ![]() |
|
once have written 99+9/9, but the four 7's call for rather more
ingenuity. Can you discover the little trick? 96.--THE DICE NUMBERS. [Illustration] I have a set of four dice, not marked with spots in the ordinary way, but with Arabic figures, as shown in the illustration. Each die, of course, bears the numbers 1 to 6. When put together they will form a good many, different numbers. As represented they make the number 1246. Now, if I make all the different four-figure numbers that are possible with these dice (never putting the same figure more than once in any number), what will they all add up to? You are allowed to turn the 6 upside down, so as to represent a 9. I do not ask, or expect, the reader to go to all the labour of writing out the full list of numbers and then adding them up. Life is not long enough for such wasted energy. Can you get at the answer in any other way? VARIOUS ARITHMETICAL AND ALGEBRAICAL PROBLEMS. "Variety's the very spice of life, That gives it all its flavour." COWPER: _The Task._ |
|