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 Puzzle ID: #14477 Fun: (2.36) Difficulty: (1.82) Category: Math Submitted By: Gerd

The number has 5 digits.

a: the first and the third digit are the same, all others are different.
b: the highest digit is 7 and the lowest is 1.
c: the third digit is twice as much as the fourth.
d: the second digit is higher than the fifth.
e: the sum of the five digits is 23.

What is the number?

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 spinnercat Jul 28, 2007 very nice logic javaguru Feb 21, 2009 I did it differently. The three unknown digits total 15. The repeated digit must be even, so it can't be seven. There's only one set of three numbers with two even numbers less than seven that total 15: 6,6,3. Assigning the numbers was simple after that. eighsse Sep 02, 2013 @javaguru: 6,5,4 is another set of three numbers (two being even) whose sum is 15. Not that it works for this teaser since the two even numbers are not the same; just saying.