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Math·Advanced Math·Nonlinear functions

hard

$f(x)=(x-a)(x-b)$

The function $f$ is defined by the given equation, where $a$ and $b$ are integer constants. If $f(17)>0$, $f(20)<0$, and $f(23)>0$, what is one possible value of $a+b$?

1

39

2

40

3

41