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Sunday Times Teaser 2600 – Mileometer

by John Owen

Published: 22 July 2012 (link)

My car’s digital mileometer has five digits, displaying whole miles. It also has a trip meter with five digits, displaying tenths of a mile (which resets to zero when reaching 10,000 miles). Soon after the car was new I reset the trip meter to zero (but never did that again). Not long after, I noticed that the two five-digit displays were the same (ignoring the decimal point). The next time the displays were the same I wrote down the mileage and did so on each subsequent occasion until the mileage reached 100,000. The sum of all the mileages I wrote down was 500,000.

What were the five digits when the displays were first the same?

One Comment Leave one →
  1. brian gladman permalink

    Here is my solution:

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