Difference between revisions of "2008 UNCO Math Contest II Problems/Problem 2"

(Solution)
(Solution)
Line 6: Line 6:
  
 
== Solution ==
 
== Solution ==
{{solution}}
+
<math>\{1,4,9,10\} </math> or <math>\{2,3,8,11\}</math>
  
 
== See Also ==
 
== See Also ==

Revision as of 02:01, 13 January 2019

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
Invalid username
Login to AoPS