Difference between revisions of "2013 UNCO Math Contest II Problems/Problem 5"

m (moved 2013 UNC Math Contest II Problems/Problem 5 to 2013 UNCO Math Contest II Problems/Problem 5: disambiguation of University of Northern Colorado with University of North Carolina)
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== See Also ==
 
== See Also ==
{{UNC Math Contest box|n=II|year=2013|num-b=4|num-a=6}}
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{{UNCO Math Contest box|n=II|year=2013|num-b=4|num-a=6}}
  
 
[[Category:Intermediate Algebra Problems]]
 
[[Category:Intermediate Algebra Problems]]

Revision as of 21:51, 19 October 2014

Problem

If the sum of distinct positive integers is $17$, find the largest possible value of their product. Give both a set of positive integers and their product. Remember to consider only sums of distinct numbers, and not $3+7+7$ or $2+3+4+4+4$, etc., which have repeated terms. You need not justify your answer on this question.

$\begin{tabular}{|c|c|c|c|} \hline EXAMPLE: & Distinct Integers: {2, 3, 4, 8} & Their Sum: 2+3+4+8=17 & Their Product: 2 \times 3\times 4\times 8=192 \\ \hline \end{tabular}$ (Error compiling LaTeX. Unknown error_msg)


Solution

See Also

2013 UNCO Math Contest II (ProblemsAnswer KeyResources)
Preceded by
Problem 4
Followed by
Problem 6
1 2 3 4 5 6 7 8 9 10
All UNCO Math Contest Problems and Solutions