2013 UNCO Math Contest II Problems/Problem 5
Problem
If the sum of distinct positive integers is , 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 or , etc., which have repeated terms. You need not justify your answer on this question.
Solution
Intuitively, we want all the numbers to be as close as possible to , or . Thus, we get the numbers , , , and . These multiply up to .
~pineconee
See Also
2013 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
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 |