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It is known that $5(a-1)=b+a^{2}$. Compare the numbers $a$ and $b$.

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Official solution

Answer: $a>b$.

Solution: $a-b=a+a^{2}-5a+5=(a-2)^{2}+1>0$.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.