# A logic problem by Owais Shah

Logic Level 2

If $$A$$ and $$B$$ are two positive integers such that the ratio between the 5-digit integer $$\overline{BBB00}$$ and the 3-digit integer $$\overline{AAA}$$ is equal to the 3-digit integer $$\overline{B00}$$.

Knowign that $$A+A+A=B$$, find the value of the product of the two 3-digit integers, $$\overline{ABA}\times \overline{BAB}$$.

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