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Sum of Ratios is an Integer (Posted on 2024-01-25)

Determine the total number of pairs of positive integers (a,b) that satisfy both the following conditions:

(I) GCD(a, b)=1
(II) a/b + 14b/9a is an integer.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(a,b)= (1,3), (2,3), (7,3), (14,3) gives the required solution set for the given problem.
For an explanation, refer to the solution submitted by Larry in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Repeat!	Brian Smith	2024-01-25 23:07:04
p&p solution with computer check	Larry	2024-01-25 14:19:49

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