Question 364129
The reciprocal of half a number increased by half the reciprocal of a number is one half. Find the number...please :)

Hi

Let x  = the number

   x/2 = half the number

   2/x = the reciprocal of half the number
 
   1/2x= half the reciprocal of the number

Here's the equation:

   2/x + 1/2x = 1/2

Multiply both sides of equation by 2x to cancel denominator

  4 + 1 = x

     x  = 5

The number is 5
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Regards,
Roy Amores