Question

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Answer 1

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Solution:-

Let the natural number be 'x'.

Therefore, according to the question.

x² - 84 = 3(x+8)

x² - 84 = 3x + 24

x² - 3x - 84 - 24 = 0

x² - 3x - 108 = 0

x² - 12x + 9x - 108 = 0

x(x - 12) + 9(x - 12) = 0

(x + 9) (x - 12)

⇒ x = -9 and x = 12

we have to take the positive value because natural numbers cannot be negative. 

Therefore, the number is 12.

Answer.

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