# Amina thinks a number and subtracts $\dfrac{5}{2}$ from it. She multiplies the result with 8. The result now obtained is 3 times the same number she thought of what is the number.

Last updated date: 16th Mar 2023

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Answer

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Hint: Proceed the solution by assuming the number as any variable and apply the conditions given to get the answer.

Complete step-by-step answer:

Let us consider the number as x

As per the condition given let us subtract $\dfrac{5}{2}$ from x then we get

$ \Rightarrow \left( {x - \dfrac{5}{2}} \right)$

Now on multiplying 8 to the resultant that we got then we get

$ \Rightarrow 8\left( {x - \dfrac{5}{2}} \right)$

Now it clearly mentioned that the above resultant is equal to 3time of same consider number

On applying the above condition to the resultant, then we get

$\

\Rightarrow 8\left( {x - \dfrac{5}{2}} \right) = 3x \\

\Rightarrow 8x - 20 = 3x \\

\Rightarrow 5x = 20 \\

\Rightarrow x = 4 \\

\ $

Therefore the number is 4.

Note: Make a note that we have to apply the condition to the considered number in the same order that they mentioned in the question. Following the proper order gives a proper result with simple calculation.

Complete step-by-step answer:

Let us consider the number as x

As per the condition given let us subtract $\dfrac{5}{2}$ from x then we get

$ \Rightarrow \left( {x - \dfrac{5}{2}} \right)$

Now on multiplying 8 to the resultant that we got then we get

$ \Rightarrow 8\left( {x - \dfrac{5}{2}} \right)$

Now it clearly mentioned that the above resultant is equal to 3time of same consider number

On applying the above condition to the resultant, then we get

$\

\Rightarrow 8\left( {x - \dfrac{5}{2}} \right) = 3x \\

\Rightarrow 8x - 20 = 3x \\

\Rightarrow 5x = 20 \\

\Rightarrow x = 4 \\

\ $

Therefore the number is 4.

Note: Make a note that we have to apply the condition to the considered number in the same order that they mentioned in the question. Following the proper order gives a proper result with simple calculation.

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