Question 1160954
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You can solve it mentally.


One reciprocal is twice the other reciprocal, and the sum of reciprocals is  {{{3/34}}}.


It means, after 2 seconds of thinking, that one reciprocal is  {{{1/34}}},  while the other reciprocal is  {{{2/34}}} = {{{1/17}}}.


From it, there is only one step to get the 


<U>ANSWER</U>.  The numbers are  17 and 34.
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This problem is for &nbsp;<U>quick</U> &nbsp;<U>mental</U> &nbsp;solution.