Difference between revisions of "2007 iTest Problems/Problem 35"

(Created page with "== Problem == 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 neighbor...")
 
Line 1: Line 1:
== 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 20:44, 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
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 TB1 TB2 TB3 TB4