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The sum of two numbers is 10 and the sum of their reciprocals is 5/12 Find the numbers.:Correct:

Solution

The sum of two numbers is 10 and the sum of their reciprocals is \frac{5}{12} Find the numbers.:Correct:

Solution

The numbers : 6, 4

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 10

\frac{1}{x} + \frac{1}{y} = \frac{5}{12}

x + y = 10, \frac{1}{x} + \frac{1}{y} = \frac{5}{12} : (x = 6, y = 4 x = 4, y = 6)

Discard duplicated solutions

The numbers : 6, 4

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