Question 10812
Let n be the number.

Then:
 {{{n + 1/n = 2}}} Simplify.
{{{(n^2 + 1)/n = 2}}}
{{{n^2 - 2n + 1 = 0}}} Solve by factoring.
{{{(n-1)(n-1) = 0}}}
{{{n-1 = 0}}}; {{{n = 1}}}

The number is 1.