Astonishing Numbers

• Published in 2001
• Added on
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We say that an ordered pair of positive integers $a,b$ with $a \lt b$ is astonishing if the sum of the integers from $a$ to $b$, inclusive, is equal to the digits of $a$ followed by the digits of $b$. Determine all astonishing ordered pairs.

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BibTeX entry

@article{AstonishingNumbers,
title = {Astonishing Numbers},
abstract = {We say that an ordered pair of positive integers $a,b$ with $a \lt b$ is astonishing if the sum of the integers from $a$ to $b$, inclusive, is equal to the digits of $a$ followed by the digits of $b$. Determine all astonishing ordered pairs.},
url = {https://cms.math.ca/publications/crux/issue/?volume=27{\&}issue=1 https://cms.math.ca/wp-content/uploads/crux-pdfs/CRUXv27n1.pdf},
year = 2001,
author = {Richard Hoshino},
comment = {},
urldate = {2020-08-28},
collections = {attention-grabbing-titles,easily-explained,integerology}
}