  Math Central - mathcentral.uregina.ca  Quandaries & Queries    Q & Q    Topic: 1089   start over

One item is filed under this topic.    Page1/1            The "22" puzzle and the "1089" puzzle 2004-04-22 From Marcelle: 1. Choose 3 digits from 1-9 2. Make all the 2 digit numbers you can from these (6) 3. Add the 3 original digits and divide them into the sum from step 2. The answer is always '22'. I just can't understand why. Can you please help. Another one related to this is it: 1. Choose a three digit number ensuring the first and third digit are differnt by at least two. 2. Make the reverse three digit number and subtract the smaller one from the larger of these. 3. Take this answer and reverse it and add these two 3 digit numbers . eg: 643 - 346 = 297 297 + 792 = 1089 it doesn't matter what numbers are used, the results are alwasy the same. eg 22 or 1089 Answered by Paul Betts.      Page1/1    Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.    about math central :: site map :: links :: notre site français