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Popular Word Problems >

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

Solución

T h e s u m o f tw o n u mb ers i s 22 . I f t h e s u m o f t h e i r rec i p roc a l s i s 11/60 f in d t h e n u mb ers .

Solución

The numbers : 12, 10

Pasos de solución

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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