2007 AMC 10B Problems/Problem 25: Difference between revisions
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: | How many pairs of positive integers (a,b) are there such that a and b have no common factors greater than 1 and: | ||
<math>\ | <math>\frac{a}{b} + \frac{14b}{9a}</math> | ||
is an integer? | is an integer? | ||
Revision as of 18:48, 1 January 2010
How many pairs of positive integers (a,b) are there such that a and b have no common factors greater than 1 and:
is an integer?
(A) 4
(B) 6
(C) 9
(D) 12
(E) infinitely many
