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Pair Sums

Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?

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Weekly Problem 16 - 2012

Weekly Problem 16 - 2012

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Weekly Problem 47 - 2013

Weekly Problem 47 - 2013

Weekly Problem 1 - 2007

Stage: 3 Challenge Level: Challenge Level:1
6, -3, -2

As the sum of the integers is 1, it is clear that at least one of them is negative. Their product is positive so it may be deduced that exactly two of the integers are negative. Now we need to find three factors of 36 such that the largest is 1 greater than the sum of the other two. These are 6, 3 and 2.

This problem is taken from the UKMT Mathematical Challenges.

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