Difference between revisions of "1985 AIME Problems/Problem 7"

(See also)
m
Line 1: Line 1:
 
== 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 14:09, 18 November 2006

Problem

Assume that $a$, $b$, $c$, and $d$ are positive integers such that $a^5 = b^4$, $c^3 = d^2$, and $c - a = 19$. Determine $d - b$.

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See also