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RMO MATHS OLYMPIAD 2011
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| Forum Index -> Algebra -> View Full Question |
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Let
Then
That means
Now,
Similarly,
Thus
Now
So let a = 3k. Then b = 6k and hence c = 2k
Thus every solution is of the form (6k,3k,2k)
Its now obvious that the pair with the least sum is obtained by putting k =1 i.e. (6,3,2). |
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