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  • If you subtract 1/2 from a number and multiply the result by 1/2 , you get 1/8. What is the number?

Q1. If you subtract  \frac{1}{2}  from a number and multiply the result by  \frac{1}{2} , you get  \frac{1}{8} . What is the number?

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Assume the number to be x.

Thus according to the question,  

    \left ( x-\frac{1}{2} \right )\times \frac{1}{2} = \frac{1}{8}

 Multiplying both sides by 2, we get

  \left ( x-\frac{1}{2} \right ) = \frac{1}{8}\times 2 = \frac{1}{4}

Now transposing  -\frac{1}{2}  to the RHS, we get 

     x = \frac{1}{4} + \frac{1}{2} = \frac{1+2}{4} = \frac{3}{4}

Thus the number was  x = 3/4

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