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A Difference And Quotient Problem (Posted on 20070404) 

Determine analytically all pairs of positive rational numbers (p, q) satisfying pq = p/q such that p+q is a positive integer.

Submitted by K Sengupta

Rating: 3.0000 (1 votes)


Solution:

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(p, q) = (4, 2); (9/2, 3/2) constitutes the only possible solutions to the problem.
EXPLANATION:
The methodology culminating in the above solution is submitted by Steve Herman in this location.

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