Question 29336
Let the number be x
Half a number = x/2
Recipocal = 1/x

<font color = green>Equation:</font>
{{{x/2+1/x=51/x}}} --> multiply the whole equation by x
{{{x^2/2+1=51}}}----> multply the whole eqaution by 2
{{{2(x^2/2)+2(1/1)=2(102/1)}}}
{{{x^2+2=102}}}
{{{x^2=100}}}
{{{x^2=sqrt(100)}}}
{{{x=10}}}


Hence, the number is 10.
<font color = brown>Paul.</font>