perplexus.info :: Just Math : Simultaneous Satisfaction

Simultaneous Satisfaction (Posted on 2014-09-27)

Find two positive integers X and Y, with X ≤ Y, that satisfy this set of simultaneous relationships:

lcm(X, Y)
---------   =  1785, and:
gcd(X, Y)


X + Y = 2014

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

X=399, Y=1615
For an explanation, refer to the analytical solution submitted by Steve Herman in this location.

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

Subject	Author	Date
Analytical solution	Steve Herman	2014-09-27 20:29:23
computer solution and outline of a possible analytic method	Charlie	2014-09-27 15:17:56

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