Question Details

For some real numbers $a$ and $b$ , the system of equations $x + y = 4$ and $(a + 5) x + (b^{2} - 15) y = 8 b$ has infinitely many solutions for $x$ and $y$ . Then, the maximum possible value of $a b$ is

Options

A

15

B

55

C

33

D

25

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