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# 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. Verified
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Hint: Proceed the solution by assuming the number as any variable and apply the conditions given to get the 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.
Last updated date: 17th Sep 2023
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