melissa12bonilla melissa12bonilla

07-11-2020
Mathematics

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One number is 2 times another. The sum of their reciprocals is 6. Find the numbers.
The numbers are

One number is 2 times another The sum of their reciprocals is 6 Find the numbers The numbers are class=

Respuesta :

seetha1980 seetha1980

07-11-2020

Answer:

1/2, 1/4

Step-by-step explanation:

Let the numbers be x and y.

Given, x=2y

1/x + 1/y = 6

plug in x=2y ,

1/2y+1/y = 6

Taking common denominator ,

(1+2)/2y = 6

2y = 3/6 = 1/2 => y=1/4

x = 2y = 2* 1/4 = 1/2

So, the numbers are 1/2 and 1/4

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