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Nine in a Line

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

The average of the 9 numbers is 223, so they are 219, 220,..., 226, 227.

(Note that the difference between the largest and smallest of 9 consecutive whole numbers is 8, irrespective of the sum of the numbers).
 

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

 

 

This problem is taken from the UKMT Mathematical Challenges.

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