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The reciprocal of a number plus the reciprocal of twice the number equals one half?
Wiki User
∙ 12y ago
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)
Wiki User
∙ 12y ago
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