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Q.

When $2 a + 3 b$ is subtracted from $5 a - 2 b$ , then the result is $p a - q b$ , then $p + q =$

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answer is 8.

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Detailed Solution

$(5 a - 2 b) - (2 a + 3 b) = p a - q b$

$5 a - 2 b - 2 a - 3 b = p a - q b$

$5 a - 2 a - 2 b - 3 b = p a - q b$

$3 a - 5 b = p a - q b$

Comparing

$p = 3, q = 5$

$p + q = 3 + 5 = 8$

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