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2010 UNCO Math Contest II Problems/Problem 6

Revision as of 20:17, 19 October 2014 by Timneh (talk | contribs) (moved 2010 UNC Math Contest II Problems/Problem 6 to 2010 UNCO Math Contest II Problems/Problem 6: disambiguation of University of Northern Colorado with University of North Carolina)

Problem

$A$ is a $4$-digit number $abcd$. $B$ is a $5$-digit number formed by augmenting $A$ with a $3$ on the right, i.e. $B=abcd3$.

$C$ is another $5$-digit number formed by placing a $2$ on the left $A$, i.e. $C=2abcd$. If $B$ is three times $C$, what is the number $A$?


Solution

See also

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