Find all positive integers X and Y such that:
- X divides Y+5, and:
- Y divides X+3
Prove that there are no others.
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Submitted by K Sengupta
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Rating: 4.5000 (2 votes)
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Solution:
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(Hide)
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(x,y) = (1,1), (1,2), (2,1), (3,1), (1,4), (2,5), (6,1), (7,2), (4,7), (9,4), (8,11), (13,8) are the only possible solutions to the given problem.
For an explanation, refer to
- Analytical solution submitted by Steve Herman here and here.
- Computer program assisted solution submitted by Charlie in this location.
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