a positive integer is twice another. the difference of the reciprocals of the two positive integers is 1/12. find the two integers.

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07-10-2017
Mathematics

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a positive integer is twice another. the difference of the reciprocals of the two positive integers is 1/12. find the two integers.

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ejelonubenedict ejelonubenedict · Answer 1 · 2017-10-20T17:59:30+02:00

ejelonubenedict ejelonubenedict

20-10-2017

let an integer be x
then the other is 2x
(2x)-¹ + x-¹ = 1/12
½x +1/x = 1/12
3/2x = 1/12
3×12 = 2x
36 = 2x
x = 36÷2 = 18
the two integers are 18 and 36

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