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Problem 55

Combinatorics Difficulty 1.0 Find the answer UKMT Senior Mathematical Challenge · United Kingdom · 2017

The five integers 2, 5, 6, 9, 14 are arranged into a different order. In the new arrangement, the sum of the first three integers is equal to the sum of the last three integers. What is the middle number in the new arrangement?

(A) $2$ (B) $5$ (C) $6$ (D) $9$ (E) $14$

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