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2007 AMC 10B Problems/Problem 25

Revision as of 16:51, 22 February 2009 by MathDork135 (talk | contribs) (New page: How many pairs of positive integers (a,b) are there such that a and b have no common factors greater than 1 and: <math>\mathrm frac {a}/{b}</math> + <math>\mathrm frac {14b}/{9a}</math> ...)
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How many pairs of positive integers (a,b) are there such that a and b have no common factors greater than 1 and:

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

is an integer?

(A) 4

(B) 6

(C) 9

(D) 12

(E) infinitely many

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