2008 UNCO Math Contest II Problems/Problem 2

Revision as of 21:50, 19 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == Let <math>S = \left \{a,b,c,d \right \}</math> be a set of four positive integers. If pairs of distinct elements of <math>S</math> are added, the following six sum...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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

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