<PRE><B>Question 996099</B>
The reciprocal of half a number increased by half the reciprocal of the number is 1/2.
 Find the number.
:
let n = the number
then
.5n = half the number
:
{{{1/(.5n)}}} + .5({{{1/n}}}) = {{{1/2}}}
{{{1/(.5n)}}} + {{{.5/n}}} = {{{1/2}}}
multiply equation by 2n
2n*{{{1/(.5n)}}} + 2n*{{{.5/n}}} = 2n*{{{1/2}}}
cancel the denominators and we have
4 + 2(.5) = n
5 = n
:
the number is 5</PRE>