Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

2006 UNCO Math Contest II Problems/Problem 7

Revision as of 02:13, 21 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == The five digits <math>a,b,c,d</math> and <math>e</math> of <math>55225</math> are such that <math>a=b=e</math> and <math>c=d</math>; in addition, <math>55225=235^2...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

The five digits $a,b,c,d$ and $e$ of $55225$ are such that $a=b=e$ and $c=d$; in addition, $55225=235^2=(235)(235)$. Find another integer $m$ such that $m^2$ is also a five digit number $abcde$ that satisfies $a=b=e$ and $c=d$.


Solution

See Also

2006 UNCO Math Contest II (Problems • Answer Key • Resources)
Preceded by
Problem 6 		Followed by
Problem 8
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10
All UNCO Math Contest Problems and Solutions
Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2006_UNCO_Math_Contest_II_Problems/Problem_7&oldid=65361"