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प्रश्न
Find the value of x for which the numbers (5x + 2), (4x – 1) and (x + 2) are in AP.
संख्यात्मक
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उत्तर
It is given that (5x + 2), (4x – 1) and (x + 2) are in AP.
∴ (4x – 1) – (5x + 2) = (x + 2) – (4x – 1)
⇒ 4x – 1 – 5x – 2 = x + 2 – 4x + 1
⇒ –x – 3 = –3x + 3
⇒ 3x – x = 3 + 3
⇒ 2x = 6
⇒ x = 3
Hence, the value of x is 3.
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