Problema Solution

A positive integer is twice another. The difference of the reciprocals of the two positive integers is frac(1/16). Find the two integers

Answer provided by our tutors

Let

x = the first integer then its reciprocal is 1/x

2x = the second integer (twice the other) then its reciprocal is 1/(2x)

The difference is 1/16 means:

1/x - 1/(2x) = 1/16

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click here to see the equation solved for x

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x = 8

2*8 = 16

The two integers are 8 and 16.