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