Difference between revisions of "2007 iTest Problems/Problem 35"
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| − | == Problem == | + | == Problem 35== |
Find the greatest natural number possessing the property that each of its digits except the first and last one is less than the arithmetic mean of the two neighboring digits. | Find the greatest natural number possessing the property that each of its digits except the first and last one is less than the arithmetic mean of the two neighboring digits. | ||
| − | == Solution == | + | ==Solution== |
| + | |||
| + | ==See Also== | ||
| + | {{iTest box|year=2007|num-b=34|num-a=36}} | ||
| + | |||
| + | [[Category:Introductory Number Theory Problems]] | ||
Revision as of 21:44, 5 April 2024
Problem 35
Find the greatest natural number possessing the property that each of its digits except the first and last one is less than the arithmetic mean of the two neighboring digits.
Solution
See Also
| 2007 iTest (Problems, Answer Key) | ||
| Preceded by: Problem 34 |
Followed by: Problem 36 | |
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