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The sum of two numbers is 22 . If the sum of their reciprocals is 11/60 find the numbers.

Solution

The sum of two numbers is 22 . If the sum of their reciprocals is 11/60 find the numbers.

Solution

The numbers : 12, 10

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 22

\frac{1}{x} + \frac{1}{y} = \frac{11}{60}

x + y = 22, \frac{1}{x} + \frac{1}{y} = \frac{11}{60} : (x = 12, y = 10 x = 10, y = 12)

Discard duplicated solutions

The numbers : 12, 10

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