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Smallest Number (Posted on 2004-01-25) Difficulty: 3 of 5
Find the smallest number such that if its rightmost digit is placed at its left end, the new number so formed is precisely 50% larger than the original number.

See The Solution Submitted by Ravi Raja    
Rating: 3.7500 (4 votes)

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Hints/Tips x/7 Comment 23 of 23 |
Hind sight is 20/20.  You would not immediately assume this to be the case, but after you realize that the solution placed after the decimal place is .285714 or 2/7 (If you annex the repeating digits) and then switch the digits as described .428571 or 3/7 (digits annexed).  It is easy to see that the latter is 50% gretaer than the former.  x/7 is the same digits repeated in order with a different starting digit.
  Posted by john on 2005-06-08 21:41:15
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