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Four Egyptian Fractions (Posted on 2013-11-13)

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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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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