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A positive integer is twice another. The sum of the reciprocals of the two positive integers is frac(3,22). Find the two integers.

Solution

A positive integer is twice another. The sum of the reciprocals of the two positive integers is frac\left(3, 22\right). Find the two integers.

Solution

The numbers : 0.93167 \dots, 0.46583 \dots

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 2 y

\frac{1}{x} + \frac{1}{y} = 3.22

x = 2 y, \frac{1}{x} + \frac{1}{y} = 3.22 : x = 0.93167 \dots, y = \frac{75}{161}

\frac{75}{161} = 0.46583 \dots

The numbers : 0.93167 \dots, 0.46583 \dots

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