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2007 AMC 10B Problems/Problem 25

Revision as of 19:48, 1 January 2010 by Msinghal (talk | contribs)

How many pairs of positive integers (a,b) are there such that a and b have no common factors greater than 1 and:

$\frac{a}{b} + \frac{14b}{9a}$

is an integer?

(A) 4

(B) 6

(C) 9

(D) 12

(E) infinitely many

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