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Let the number be x.

Reciprocal of x = 1/x

Reciprocal of x + Reciprocal of 2x = 1/x + 1/(2x) = (3/2)x = 1.5x

If the value of x = 1/3 then answer is one half.

If the value of x = 2 then answer is 3.

So, the statement is true only for x = 1/3.

___________

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

Multiplying both sides of the equation by 2x gives:

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

This simplifies to:

2 + 1 = x

x = 3 (i.e. the reciprocal is 1/3)

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