SOLUTION: If the reciprocal of 4 times a number is subtracted from the reciprocal of that number the result is 1/8. What are the Numbers

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Question 926202: If the reciprocal of 4 times a number is subtracted from the reciprocal of that number the result is 1/8. What are the Numbers
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the number.

1%2Fx-1%2F%284x%29=1%2F8

4%2F%284x%29-1%2F%284x%29=1%2F8

%284-1%29%2F%284x%29=1%2F8

Answer by MathTherapy(10553) About Me  (Show Source):
You can put this solution on YOUR website!
If the reciprocal of 4 times a number is subtracted from the reciprocal of that number the result is 1/8. What are the Numbers


Let the number be N

Then its reciprocal is: 1%2FN

Based on given info, we get: 1%2FN+-+1%2F%284N%29+=+1%2F8

8 - 2 = N ------ Multiplying by LCD, 8N

N, or number = highlight_green%286%29

What NUMBERS are you referring to? There is just 1 number!!