Difference between revisions of "1991 AIME Problems/Problem 1"
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== Problem == | == Problem == | ||
| + | Find <math>x^2+y^2_{}</math> if <math>x_{}^{}</math> and <math>y_{}^{}</math> are positive integers such that | ||
| + | <center><math>xy_{}^{}+x+y = 71</math></center> | ||
| + | <center><math>x^2y+xy^2 = 880^{}_{}.</math></center> | ||
== Solution == | == Solution == | ||
| + | {{solution}} | ||
== See also == | == See also == | ||
| − | + | {{AIME box|year=1991|before=First question|num-a=2}} | |
Revision as of 01:00, 2 March 2007
Problem
Find 
if 
and 
are positive integers such that
Solution
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See also
| 1991 AIME (Problems • Answer Key • Resources) | ||
| Preceded by First question |
Followed by Problem 2 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
