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45, of which 9 are of the form nnn.

The options are (a) 121 (b)117 (c) 112 (d) 115 (e) 105.

It's out of those answers. If you're like me and retrieved this question off the Australian Maths Competition than you probably already know the options. Surprisingly this question stumped me. However I will try and work it out.

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Q: How many numbers from 100 to 999 inclusive have one digit which is the average of the other two?
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