Aaryan Posted May 15, 2011 Report Share Posted May 15, 2011 Try this... Pick a 3-digit number where there is no repeating digit Now reverse the digits of that number (note: a number ending in 0, i.e. 980 becomes 089) Now subtract the smaller of the two, from the larger. Totally disregard your first two numbers and use the difference Now reverse your new number (the difference). And now add the two numbers that you have together. Got it? 1089 !!! Quote Link to comment Share on other sites More sharing options...
0 TheCube Posted May 15, 2011 Report Share Posted May 15, 2011 I was thinking of 1089 until I saw that it was to be a 3-digit number. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 15, 2011 Report Share Posted May 15, 2011 i got 198 Quote Link to comment Share on other sites More sharing options...
0 Aaryan Posted May 15, 2011 Author Report Share Posted May 15, 2011 Step 1. 198 Step 2. Flip it. Now you have 198and 891 Step 3. Subtract. 891-198=693 Step 4. Flip it. Now you have 693and 396 Step 5. Add. 693+396=1089 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 15, 2011 Report Share Posted May 15, 2011 no i did 314 413-314=99 99+99=198 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 15, 2011 Report Share Posted May 15, 2011 Palindromes! On another note, that reminds me of Kaprekar's number: 6174. Why is it so special? 1. Pick any 4 digit number, with at least two kinds of different digits (ex. 0783) 2. Arrange the digits so that they're in order of largest to smallest. (8730) 3. Find the palindrome of number 2. (0378) 4. Subtract #3 from #2 (8730-378=8352) 5. Repeat until getting 6174. (8532-2358=6174, 7641-1467=6174) From there on, you'll get the same results over and over. This process will not take more than 7 iterations. Awesome, huh? Quote Link to comment Share on other sites More sharing options...
0 Aaryan Posted May 16, 2011 Author Report Share Posted May 16, 2011 @Q: yeah, that's awesome @googon: Aha! My mistake! You must use all numbers in terms of three digits! 99=099, 67=067 My bad. I hope that clears thing up. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 16, 2011 Report Share Posted May 16, 2011 aaryan o it does work thats cool Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 16, 2011 Report Share Posted May 16, 2011 Sometimes I wonder how people find these theorems because you can't prove palindromes mathematically. Quote Link to comment Share on other sites More sharing options...
Question
Aaryan
Try this...
Pick a 3-digit number where there is no repeating digit
Now reverse the digits of that number (note: a number ending in 0, i.e. 980 becomes 089)
Now subtract the smaller of the two, from the larger.
Totally disregard your first two numbers and use the difference
Now reverse your new number (the difference).
And now add the two numbers that you have together.
Got it?
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