Enigma 1765: Repeating digits
4 September 2013
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From New Scientist #2933, 7th September 2013 [link]
I have before me some positive whole numbers, each consisting of a single digit, which may be repeated. The digit is different for each number, and the number of times it is repeated is also different for each number.
The sum of my numbers is a number in which each digit is larger than the digit on its left, and it is the largest number for which this is possible, given the constraints described above.
What is the sum of my numbers?