If you subtract 2 from a number and multiply the result by 2 , you get 4 What is the number

Solution:

An equation is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values.

Let's form a linear equation for the given problem statement.

Given,

• 1/2 is subtracted from a number
• Result is multiplied by 1/2
• Answer is 1/8

Let the number be x

Following the steps given in the question,

(i) x - 1/2

(ii) 1/2 × (x - 1/2) = 1/8

Solving the above equation,

1/2 x - 1/4 = 1/8

⇒ 1/2 x = 1/8 + 1/4

⇒ x = 2(1 + 2)/8

⇒ x = 3/4

Thus, the number is 3/4

☛ Check: NCERT Solutions for Class 8 Maths Chapter 2

Video Solution:

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

NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.2 Question 1

Summary:

If you subtract 1/2 from a number and multiply the result by 1/2, you get 1/8. The number that we get from solving the given question is 3/4.

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Question 17 Exercise 2.2

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Answer:

Solution:

Let the number be x

According to the question,

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

\Rightarrow\ 2\times\frac{1}{2}\left(x-\frac{1}{1}\right)=\frac{1}{8}\times2

[Multiplying both sides by 2]

\Rightarrow\ x\ -\ \frac{1}{2}=\frac{1}{4}

\Rightarrow\ x-\frac{1}{2}+\frac{1}{2}=\frac{1}{4}+\frac{1}{2}

[Adding both sides \frac{1}{2}]

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

\Rightarrow\ x\ =\ \frac{3}{4}

Hence, the required number is \frac{3}{4}

Video transcript

Hello friends, so today I am here with a question and this question we can do with very simple steps with very easy understandable steps so let's do the question says if you subtract half from a number and multiply the result by half you get 1 by 8. what is the number so before we get into the question-answering just briefing about the question says that there's a number and that number is unknown to us if I subtract that number by half I will get some results and if I multiply my results by half, I would get 1 by 8. so in that case, I can write to let us consider the number as x so I'm considering my number rather than x and according to the question of what I Can write is that here it's already given if you subtract the number by half so my number is x right so my number is x and I have to subtract it by half so I can write x minus 1 by 2 right so I am subtracting my number by half so our first step is over now what they have said is that after I subtract the number I will get a value with that value if I multiply half, okay if that's with that value if I multiply by half I would get 1 by x so that is what is next condition so what I'm going to do is with this I am going to be multiplying half so I Am going to be multiplying half now that would be equal to 1 by 8 so now I have got my conditions right I have got my conditions now what I Can do is that I Can open the bracket so for further simply simplification I'm going to be opening the bracket so I would get x into half okay minus so half into half is 1 by 4 so that is 1 divided by 1 by 4 that is equal to 1 by 8. so now I can further simplify this so what I'm going to do here is that I am going to be multiplying both my l h's and r h's with two so let's write multiplying both LHS and RHS by 2. so if I multiply LHS and rhs by 2 what will happen I would get x into so if I write it like that x into 1 by 2 okay minus 1 by 4 4 into 2 right so into 2 and that will be equal to 1 by 8 into 2. so here I've got x into half minus 1 by 4 now this entire thing I Am multiplying with 2 and in rhs also I Am multiplying 1 by 8 into 2. now I Can do here further calculation my calculation will be simplified so if I open the bracket what happens into 1 by 2 into 2 2 2 got canceled so I will get x minus 1 by 4 into 2 will give me 1 by 2 and now that is equal to 1 by 8 into 2 will give me 1 by 4. So I have done my simplifications Now I just need only to find my x value so x would be equal to 1 by 4 plus 1 by 2 so when taking lcm 1 by 4 plus 1 by 2 I would get so taking lcm in rhs so what I would get is that x is equal to yeah so x is equal to so 1 by 4 plus half I Can make it as 11 plus two by four so one plus two whole divided by four that would be equal to so my final x value would be x is equal to 1 plus 2 is 3 so 3 by 4 so now friends we have got our x value so what is the x value x value is the number that we have considered here so hence I Can say that hence the required The number is three by four so see friends with very few steps I have come up with my answer and the answer is 3 by 4 so 3 by 4 is the number that was being needed So I hope you all have understood this till then Thank you.

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