<PRE><B>Question 92322</B>
It should come out right the way you are doing it:
:
One number is twice another number. 
One number = x; another number = 2x
:
The sum of their reciprocals is 1/4. 
{{{1/x}}} + {{{2/(2x)}}} = {{{1/4}}}
:
Find the two numbers. 
Multiply the above equation by 4x and you have:
4 + 2(2) = x
:
4 + 4 = x
:
x = 8 is one number, another number = 16
:
Check:
{{{1/8}}} + {{{2/16}}} = {{{1/4}}}
{{{2/16}}} + {{{2/16}}} = {{{4/16}}}</PRE>