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If 2x+1, 3x...

Question

If $2 x + 1, 3 x - 3$ and $3 x + 2$ are in A.P then the value of $x$ is

A

7

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B

8

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C

6

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D

9

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Solution

The correct option is D $9$
Since $2 x + 1, 3 x - 3, 3 x + 2$ are in A.P.
$∴ (3 x - 3) - (2 x + 1) = 3 x + 2 - (3 x - 3)$
$\Rightarrow 2 (3 x - 3) = 3 x + 2 + 2 x + 1$
$\Rightarrow 6 x - 6 = 5 x + 3$
$\Rightarrow x = 9$
$∴$ Option D is correct.

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