2010 UNCO Math Contest II Problems/Problem 1

Revision as of 21:56, 9 February 2015 by Haradica (talk | contribs) (Solution)

Problem

Find a $3$-digit integer less than $200$ where each digit is odd and the sum of the cubes of the digits is the original number.

Solution

We have a three digit number that can be represented as $1bc$. We know that

See also

2010 UNCO Math Contest II (ProblemsAnswer KeyResources)
Preceded by
First Question
Followed by
Problem 2
1 2 3 4 5 6 7 8 9 10
All UNCO Math Contest Problems and Solutions