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by Brian Gladman on February 8, 2014

Sunday Times Teaser 2681 – Inconsequential

by Victor Bryant

A sequence of integers in which the difference between consecutive terms is constant is known as an arithmetic sequence.  For example, 10, 29, 48, … is an arithmetic sequence with a ninth term (162) that is divisible by 9.

I have formed another arithmetic sequence that starts with two three digit numbers and has a ninth term that is also divisible by 9.  When I consistently replace different digits with different letters, this sequence starts ONE, TWO, … and its ninth term is NINE.

What nunber does WIN represent?

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