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Find the Whole Numbers Which When Decreased by 20 is Equal to 69 Times the Reciprocal of the Members. - Mathematics

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Find the whole numbers which when decreased by 20 is equal to 69 times the reciprocal of the members.

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Let the whole number be x as it is decreased by 20

⇒ (x - 20) = 69. (1/2)

⇒ ЁЭСе. 20 = 69. (1/ЁЭСе)

⇒ ЁЭСе(ЁЭСе - 20) = 69

⇒ ЁЭСе2 - 20ЁЭСе - 69 = 0

⇒ ЁЭСе2 - 23 + 3ЁЭСе - 69 = 0

⇒ ЁЭСе(ЁЭСе - 23) + 3(ЁЭСе - 623) = 0

⇒ (x - 23) (x + 3) = 0

⇒ x = 23; x = -3

As the whole numbers are always positive, x = -3 is not considered.

∴ The whole number x = 23.

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