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Problem of the Week

Problem C

This Product is a Mystery

The number \(A8\) is a two-digit number with tens digit \(A\) and units (ones) digit 8. Similarly, \(3B\) is a two-digit number with tens digit 3 and units digit \(B\).
When \(A8\) is multiplied by \(3B\), the result is the four-digit number \(C730\). That is,

If \(A\), \(B\), and \(C\) are each different digits from \(0\) to \(9\), determine the values of \(A\), \(B\), and \(C\).


Strand: Number Sense and Numeration