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