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  • A natural number, when increased by 12, equals 160 times its reciprocal. Find the number.

A natural number, when increased by 12, equals 160 times its reciprocal. Find the number.

Answers (1)

Let the number be x

ATQ

x + 12 = 160/x

x2 + 12x – 160 = 0

x2 + 20x – 8x – 160 = 0

(x + 20) (x – 8) = 0

x = -20, 8

Hence the natural number x is 8.

Posted by

Ravindra Pindel

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