MathDB

2016 Guts #16

Source:

August 14, 2022

2016Guts Round

Problem Statement

Let the notation

\underline{ABC}

denote the number compromised of the digits

A

,

B

, and

C

with

0\leq A,B,C\leq9

. That is,

\underline{ABC}=100A+10B+C

and

(\underline{ABC})^2=\underline{CCAAC}

. Now, if

(\underline{ABC})^2=\underline{CCAAC}

, where

A

,

B

, and

C

are distinct nonzero digits, find the

3

digit number

\underline{ABC}

.

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