Difference between revisions of "1985 AIME Problems/Problem 7"
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== Problem == | == Problem == | ||
| − | + | Assume that <math>a</math>, <math>b</math>, <math>c</math>, and <math>d</math> are [[positive integer]]s such that <math>a^5 = b^4</math>, <math>c^3 = d^2</math>, and <math>c - a = 19</math>. Determine <math>d - b</math>. | |
== Solution == | == Solution == | ||
| − | + | {{solution}} | |
== See also == | == See also == | ||
| + | * [[1985 AIME Problems/Problem 6 | Previous problem]] | ||
| + | * [[1985 AIME Problems/Problem 8 | Next problem]] | ||
* [[1985 AIME Problems]] | * [[1985 AIME Problems]] | ||
| + | |||
| + | [[Category:Intermediate Number Theory Problems]] | ||
Revision as of 13:09, 18 November 2006
Problem
Assume that 
, 
, 
, and 
are positive integers such that 
, 
, and 
. Determine 
.
Solution
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