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How Mean Is It? (Posted on 2023-10-07) Difficulty: 3 of 5
The teacher has recently set a class the following puzzle: "Write down four positive whole numbers less than 100 and then write down their average: choose the original numbers so that overall the five numbers written down use each of the digits 1 to 9 exactly once."

Three students in the class were successful. Heinrich came up with 9, 15, 36 and 48, with average 27. Felix was more cunning – his average was not a whole number – it involved a mixed fraction in its simplest form, like 27¾. Delphine was devious, too, and her average, which was lower than Felix's, was not a whole number – it involved decimals, like 16.25.

What averages did Felix and Delphine write?

  Submitted by K Sengupta    
Rating: 5.0000 (1 votes)
Solution: (Hide)
Felix's average:  25 3/4
Delphine's average:  24.75 (which was lower than Felix's)< /pre>

For an explanation, refer to the solutions submitted by Charlie and Larry in the comment section.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionComputer solutionLarry2023-10-07 11:43:15
Solutioncomputer solutionCharlie2023-10-07 09:41:15
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