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? 

Asked by Aaryan | 1 year ago |  134

1 Answer

Solution :-

Let the number be x. According to the question,

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

On multiplying both sides by 2, we obtain

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

x - \(\frac{1}{2} = \frac{1}{4}\)

On tranposting \(\frac{1}{2}\) to R.H.S, we obtain

\(x = \frac{1}{4} + \frac{1}{2}\)

\(\frac{1+2}{4} = \frac{3}{4}\)

Therefore, the number is \(\frac{3}{4}\).

Answered by Sakshi | 1 year ago

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