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Divisibility with lcm and gcd (Posted on 2016-08-15) Difficulty: 3 of 5
Each of X and Y is a positive integer such that:
lcm(X,Y) + gcd(X,Y) = X+Y

Is one of X and Y always divisible by the other?

Provide adequate reasoning for your answer.

No Solution Yet Submitted by K Sengupta    
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Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Answer and reasoning Comment 4 of 4 |
(In reply to re: Answer and reasoning by Ady TZIDON)

Thank you both for the kind remarks
  Posted by Paul on 2016-08-16 11:32:42

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