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, 2006

Algebra Difficulty 1.0 Junior Prove it Canada

When a decimal point is placed between the digits of the two-digit integer $n$ , the resulting number is equal to the average of the digits of $n$ . What is the value of $n$ ?

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.