perplexus.info :: Just Math : Quadruplet Query

Quadruplet Query (Posted on 2014-08-14)

Find four positive integers p,q,r and s such that:

p*q*r*s= 8!, and:
p*q+p+q = 524, and:
q*r+q+r = 146, and:
r*s+r+s = 104

Prove that there are no others.

Submitted by K Sengupta

Rating: 4.0000 (2 votes)

Solution: (Hide)

(p,q,r,s)= (24,20, 6,14)
For an explanation, refer to the analytical solution submitted by Steve Herman in this location.
Steve Herman has also extended the provisions to negative integers in this location.

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

Subject	Author	Date
Negative solutions	Steve Herman	2014-08-14 14:32:17
Analytical Solution (spoiler)	Steve Herman	2014-08-14 13:02:46

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