perplexus.info :: Just Math : 2016 and Simultaneous Settlement

2016 and Simultaneous Settlement (Posted on 2016-05-26)

Find all possible positive integer solutions to this system of simultaneous equations:

AB+CD = 2016, and:
AD - BC = 1

*** For an extra challenge, solve this puzzle without a computer program aided method.

Submitted by K Sengupta

Rating: 4.5000 (2 votes)

Solution: (Hide)

{A, B, C, D} = {14, 89, 11, 70}, or {70, 11, 89, 14}
For an explanation, refer to the semi-analytic solution submitted by Harry in this location.

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

Subject	Author	Date
Analytic Solution	Harry	2016-05-26 19:44:07
computer solution (spoiler)	Charlie	2016-05-26 10:55:52

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