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Four Egyptian Fractions (Posted on 2013-11-13) Difficulty: 2 of 5
Find positive integer solutions to the equation 1/a + 1/b + 1/c + 1/d = 1
(a ≤ b ≤ c ≤ d). How many solutions exist?

No Solution Yet Submitted by Danish Ahmed Khan    
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Hints/Tips re: analytical solution corrected | Comment 3 of 6 |
(In reply to analytical solution by Daniel)

a,b,c,d):
(2,2,7,42)    wrong
(2,2,8,24) wrong
(2,2,9,18)wrong
(2,2,10,15)wrong
(2,2,12,12)wrong  all 2,2  s.b. 2,3


(3,3,4,12)  ok
(3,3,6,6)ok
(3,4,4,6)ok
(4,4,4,4) ok

Additional sets:
(2,4,8,8)
(2,6,6,6)
(2,3,12,12)  and probably  I have missed some ...solved as d1- just by trial...

Edited on November 13, 2013, 12:28 pm
  Posted by Ady TZIDON on 2013-11-13 12:25:34

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