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Popular >

A positive integer is twice another. The sum of the reciprocals of the two positive integers is 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{3}{22}. Find the two integers.

Solution

The numbers : 22, 11

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} = \frac{3}{22}

x = 2 y, \frac{1}{x} + \frac{1}{y} = \frac{3}{22} : x = 22, y = 11

The numbers : 22, 11

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