88.--DIGITAL DIVISION.

It is another good puzzle so to arrange the nine digits (the nought

excluded) into two groups so that one group when divided by the other

produces a given number without remainder. For example, 1 3 4 5 8

divided by 6 7 2 9 gives 2. Can the reader find similar arrangements

producing 3, 4, 5, 6, 7, 8, and 9 respectively? Also, can he find the

pairs of smallest possible numbers in each case? Thus, 1 4 6 5 8 divided

by 7 3 2 9 is just as correct for 2 as the other example we have given,

but the numbers are higher.

Amusements in Mathematics · 第 108 / 970 题