Art of Problem Solving

AoPS Online

2012 AMC 10A Problems/Problem 17

Revision as of 21:39, 8 February 2012 by Ace316 (talk | contribs) (Created page with "==Problem 17== Let <math>a</math> and <math>b</math> be relatively prime integers with <math>a>b>0</math> and <math>\frac{a^3-b^3}{(a-b)^3}</math> = <math>\frac{73}{3}</math>. W...")

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem 17

Let $a$ and $b$ be relatively prime integers with $a>b>0$ and $\frac{a^3-b^3}{(a-b)^3}$ = $\frac{73}{3}$ . What is $a-b$ ?

$\textbf{(A)}\ 1\qquad\textbf{(B)}\ 2\qquad\textbf{(C)}\ 3\qquad\textbf{(D)}\ 4\qquad\textbf{(E)}\ 5$

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2012_AMC_10A_Problems/Problem_17&oldid=44576"

© 2024 AoPS Incorporated