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Grade 12Algebra

Given 8 different natural numbers, none greater than 15, show that at least three pairs of them have the same positive difference (the pairs need not be disjoint as sets).

Profile image of rita singh
13 Years agoGrade 12
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1 Answer

Profile image of Vikas TU
13 Years ago

THE pairs can be:

(1,2,4)

(5,3,1)

(8,6,1)

 

These all have the difference of ''1'' which is a positive no.!