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The numbers a and b are simple numbers between them. They have no common divisors other than number 1. We know that a/b=1,(3). Find a^2-b^2.

So I tried a=1,(3)*b and then substituted into the expression. [1,(3)b-b][1,(3)b+b] But it didn't lead me anywhere.

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Hint: From $\frac ab=1,333333333\ldots=\frac43$, you deduce that $4a=3b$. Now, use the fact that $a$ and $b$ are coprime.