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 | 2 years ago |  158

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 | 2 years ago

Related Questions

Solve the inequations and graph their solutions on a number line  – 1 < (\( \dfrac{x}{2}\)) + 1 ≤ 3, x ε l

Class 8 Maths Linear Equations in One Variable View Answer

Solve (\( \dfrac{x}{3}\)) + (\( \dfrac{1}{4}\)) < (\( \dfrac{x}{6}\)) + (\( \dfrac{1}{2}\)), x ε W. Also represent its solution on the number line.

Class 8 Maths Linear Equations in One Variable View Answer

If the replacement set is {-3, -2, -1, 0, 1, 2, 3}, solve the inequation \(\dfrac {(3x – 1) }{2} < 2\). Represent its solution on the number line.

Class 8 Maths Linear Equations in One Variable View Answer

Solve the inequations (\( \dfrac{3}{2}\)) – (\( \dfrac{x}{2}\)) > – 1, x ε N

Class 8 Maths Linear Equations in One Variable View Answer