2008 UNCO Math Contest II Problems/Problem 2

Revision as of 02:01, 13 January 2019 by Timneh (talk | contribs) (Solution)

Problem

Let $S = \left \{a,b,c,d \right \}$ be a set of four positive integers. If pairs of distinct elements of $S$ are added, the following six sums are obtained: $5, 10, 11, 13, 14, 19.$ Determine the values of $a, b, c$, and $d.$ [Hint: there are two possibilities.]

Solution

$\{1,4,9,10\}$ or $\{2,3,8,11\}$

See Also

2008 UNCO Math Contest II (ProblemsAnswer KeyResources)
Preceded by
Problem 1
Followed by
Problem 3
1 2 3 4 5 6 7 8 9 10
All UNCO Math Contest Problems and Solutions
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