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UKMT Pink Kangaroo, 2018

Number theory Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

How many 3-digit numbers are there with the property that the 2-digit number obtained by deleting the middle digit is equal to one ninth of the original 3-digit number?

(A) $1$ (B) $2$ (C) $3$ (D) $4$ (E) $5$

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