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Let $a$ and $b$ be positive integers satisfying
\[ \frac a{a-2} = \frac{b+2021}{b+2008} \]Find the maximum value $\dfrac ab$ can attain & write down $a+b$ as answer
Number Theory Equation Modular Arithmetic
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Let $a$ and $b$ be positive integers satisfying
\[ \frac a{a-2} = \frac{b+2021}{b+2008} \]Find the maximum value $\dfrac ab$ can attain & write down $a+b$ as answer
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