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My favorite numbers V (Posted on 2010-06-09)

Determine all possible quadruplet(s) (A,B,C,D) of positive integers, with A ≤ C, that satisfy this system of equations:

A*(B-1)= C+D, and:

C*(D-1) = A+B

Prove that these are the only quadruplet(s) that exist.

Submitted by K Sengupta

Rating: 5.0000 (2 votes)

Solution: (Hide)

A B C D 1 9 2 6 1 8 3 4 1 9 5 3 2 4 2 4 2 4 3 3 2 6 8 2 3 3 3 3 3 4 7 2 5 3 8 2
No one has tried to prove that these are the only solutions.

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

	Subject	Author	Date
	satisfaction	ed bottemiller	2010-06-09 15:04:50

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