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Mileage Muse (Posted on 2013-03-26) Difficulty: 3 of 5
Saul was driving to work one day, when he glanced at his car's dashboard and noticed something interesting about his mileage indicators. His odometer, which shows the miles driven since the car was manufactured, hit 12,345.6 miles, and his trip meter read 123.4 miles. So, the meter matches the first four digits on the odometer.

(i) How far must Saul drive - before this happens again?

(ii) What is the smallest distance that Saul can drive so that the two odometers have all ten digits between them, but share no digits in common?

No Solution Yet Submitted by K Sengupta    
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Some Thoughts Part 1 only | Comment 1 of 7
The simplest approach is 12345.7+x=100x,  12345.7=99x, where x=124.7 miles.
  Posted by broll on 2013-03-26 11:31:08
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