In a school, $8 a^{2} + 4 a + 9$ students were enrolled. $2 a^{2} - 9 a + 2$ students were boys. How many girls were enrolled?

6 a^{2} - 13 a + 7

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4 a^{2} + 13 a + 7

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6 a^{2} + 13 a + 7

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4 a^{2} - 13 a + 7

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Solution

The correct option is B $6 a^{2} + 13 a + 7$
Let $x$ girls are enrolled in school.
So, girls $+$ boys $=$ Total students
$(x) + (2 a^{2} - 9 a + 2) = (8 a^{2} + 4 a + 9)$
So, $x = 6 a^{2} + 13 a + 7$

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