2010 UNCO Math Contest II Problems/Problem 6

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 $A$ ?

2010 UNCO Math Contest II (Problems • Answer Key • Resources)
Preceded by Problem 5	Followed by Problem 7
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All UNCO Math Contest Problems and Solutions