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Prove-that-there-exist-4-distinct-positive-integers-such-that-each-integer-divides-the-sum-of-the-remaining-integers-




Question Number 46751 by Joel578 last updated on 31/Oct/18
Prove that there exist 4 distinct positive integers  such that each integer divides the sum of the   remaining integers.
Provethatthereexist4distinctpositiveintegerssuchthateachintegerdividesthesumoftheremainingintegers.
Commented by MrW3 last updated on 31/Oct/18
n,2n,3n,6n with n∈N
n,2n,3n,6nwithnN
Commented by Joel578 last updated on 31/Oct/18
please explain how to get those numbers, Sir
pleaseexplainhowtogetthosenumbers,Sir
Commented by MrW3 last updated on 31/Oct/18
try and see.  I think there exist many other numbers which  also fulfill the condiction, e.g.  n,4n,5n,10n.
tryandsee.Ithinkthereexistmanyothernumberswhichalsofulfillthecondiction,e.g.n,4n,5n,10n.

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