Ncert solutions

Ncert solutions

Grade 8

Linear Equations in One Variable | Exercise 2.4

Question 1

Q1) Amina thinks of a number and subtracts \frac{5}{2} from it. She multiplies the result by 8. The result now obtained is 3 times the same number she thought of. What is the number?

Solution:

Let Amina think a number x.

According to the question, 8\left(x-\frac{5}{2}\right)=3x

\Rightarrow\ 8x-\frac{8\times5}{2}=3x

\Rightarrow\ 8x-4\times5=3x

\Rightarrow8x-20=3x

\Rightarrow8x-3x=20

\Rightarrow5x=20

\Rightarrow x=\frac{20}{5}=4

Hence, the number is 4.

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subject-cta

Question 1

Q1) Amina thinks of a number and subtracts \frac{5}{2} from it. She multiplies the result by 8. The result now obtained is 3 times the same number she thought of. What is the number?

Solution:

Let Amina think a number x.

According to the question, 8\left(x-\frac{5}{2}\right)=3x

\Rightarrow\ 8x-\frac{8\times5}{2}=3x

\Rightarrow\ 8x-4\times5=3x

\Rightarrow8x-20=3x

\Rightarrow8x-3x=20

\Rightarrow5x=20

\Rightarrow x=\frac{20}{5}=4

Hence, the number is 4.

Still have questions? Our expert teachers can help you out

Book a free class now

Want to top your mathematics exam ?

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Book a free class now
subject-cta
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