1986 AIME Problems/Problem 4: Difference between revisions
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== See also == | == See also == | ||
{{AIME box|year=1986|num-b=3|num-a=5}} | {{AIME box|year=1986|num-b=3|num-a=5}} | ||
* [[AIME Problems and Solutions]] | |||
* [[American Invitational Mathematics Examination]] | |||
* [[Mathematics competition resources]] | |||
[[Category:Introductory Algebra Problems]] | [[Category:Introductory Algebra Problems]] | ||
Revision as of 13:38, 6 May 2007
Problem
Determine 
if 
, 
, 
, 
, and 
satisfy the system of equations below.
Solution
Adding all five equations gives us 
so 
. Subtracting this from the fourth given equation gives 
and subtracting it from the fifth given equation gives 
, so our answer is 
.
See also
| 1986 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
